The length of a triangle refers to the summation of the three sides of a triangle. In other words, we can say, that the perimeter of A triangle is also known as the length of the triangle. While finding the length of a triangle, we will need the three sides of the triangle. Then we will add them together to get the perimeter of the triangle.
But that is not always given to us. Sometimes there is a situation where Three Side Lengths are Known. Sometimes When Two Sides are Known with one right angle. Sometimes we have situations like two side lengths, and the angle between them are known.
Let’s explore different situations and how to tackle them.
Given Three Sides Of The Triangle –
This is the first and simplest case for finding the length or the perimeter of a triangle as we have already discussed that the perimeter or the length of a triangle is the addition of all the sides of the triangle. Now add all the sides of the triangle. The result will be the length of the triangle.
Given Right Angle Triangle With Two Sides-
We all know that a Right Angle Triangle is a triangle which has one right angle. The longest side of the triangle, opposite to the right angle is known as the hypotenuse. While working with right angle triangles, we often came across the relations between the sides of the triangle. Fortunately, there is a universal formula that shows the relations between the sides of the triangle.
i.e. a2 + b2 = c2,
where a & b are the two sides adjacent to the right angle whereas c is the hypotenuse.
Let’s say we have a right angle triangle with known values of the two adjacent sides of the right angle which are 3cm and 4 cm respectively. As we have already identified the relation formula between the sides, let’s plug in the values in the equation.
Now, after plugging in we have,
32 + 42 = c2
=> c2 = 9 + 16
=> c2 = 25
=> c = 5
Hence, the length of the hypotenuse is 5 cm. Now that we have all sides with us, the perimeter of the triangle will be,
3 + 4 + 5 = 12cm
Hence, the length of the triangle is 12 cm.
Given An SAS Triangle –
A SAS Triangle is the triangle whose two sides and the angle between are given. In this case, we will be using a special trigonometric formula to find the last side of the triangle. The formula is known as the law of Cosines. The formula is c2 = a2 + b2 – 2ab cos(C).
In this formula, the first side is denoted as “a” & the angle in front of it is denoted by “A”. In the same way, the side “b” faces the angle “B”, and the side “c” faces the angle “C”.
Let’s say we have
a = 10cm
b = 12cm
& C = 970
Now just input the values we have in the respective places. The final equation will be,
c2 = a2 + b2 – 2ab cos(C)
=> c2 = 102 + 122 – 2 X 10 X 12 cos(97)
=> c2 = 100 + 144 – 240 (-0.12187)
=> c2 = 244 – (-29.25)
=> c2 = 244 + 29.25
=> c2 = 273.25
=> c = 16.53
Hence the last side is 16.53 cm.
Now the length of the triangle is,
10 + 12 + 16.53
= 38.53 cm
Hence, the length of the triangle is 38.53 cm.
England soccer star Rashford nets younger buyers for Burberry
By Sarah Young
LONDON (Reuters) – Burberry stuck to its full-year goals on Wednesday after a media campaign fronted by high-profile English soccer star and social justice advocate Marcus Rashford drew a younger clientele to the British luxury brand.
Higher full-price sales would boost annual margins and Asian demand remained strong, Burberry said, while warning that it could suffer more sales disruption from COVID-19 lockdowns.
Manchester United striker Rashford, 23, has won plaudits for his campaign to help ensure that poorer children do not go hungry with schools closed during the pandemic.
A first coronavirus wave last year cut Burberry’s sales by as much as 45% before a bounce back on strong demand in mainland China and South Korea, which continued in the last few months.
Shares in Burberry were up 5% to 1,825 pence at 0905 GMT, with Citi analysts saying that improved sales quality from fewer markdowns would drive full-year consensus upgrades.
Burberry’s 9% sales decline in its third quarter was worse than the 6% fall in the second, and the company said that 15% of stores were currently closed and 36% operating with restrictions as a result of measures to curb COVID-19’s spread.
“We expect trading will remain susceptible to regional disruptions as we close the financial year,” Burberry said, adding that it was confident of rebounding when the pandemic eases given the brand’s resonance with customers.
In the third quarter, comparable store sales in Europe, the Middle East, India and Africa declined 37%, hit by shops shut in lockdowns and a lack of tourists visiting Europe, but in the same period, it posted sales growth of 11% in Asia Pacific.
Burberry said that Britain’s new relationship with the European Union would cause headwinds, warning of a modest increase in costs to comply with new rules and also the impact of an end to a scheme for VAT refunds for non-EU tourists.
This would make Britain a less attractive destination for luxury shopping when tourism returns after the pandemic, Burberry said, adding that it would try to mitigate the effect.
(Reporting by Sarah Young; Editing by Kate Holton, James Davey and Alexander Smith)
Alibaba’s Jack Ma makes first live appearance in three months in online meet
SHANGHAI (Reuters) – Alibaba Group founder Jack Ma met 100 rural teachers in China via a live video meeting on Wednesday morning, in the businessman’s first appearance since October, triggering a sharp jump in the Hong Kong listed shares of the e-commerce giant.
Social media speculation over the whereabouts of China’s highest-profile entrepreneur swirled this month after news reports that he missed the final episode of a TV show featuring him as a judge, amid a regulatory clampdown by Beijing on his sprawling business empire.
Ma had not appeared in public since Oct. 24, where he blasted China’s regulatory system in a speech at a Shanghai forum that set him on a collision course with officials, leading to suspension of a $37-billion IPO of Alibaba’s financial affiliate Ant Group.
Tianmu News, a news portal under Zhejiang Online, which is backed by the provincial Zhejiang government, first reported that Ma had met with the teachers via a live video conference on Wednesday.
The Jack Ma Foundation said that Ma participated in the online ceremony of the annual Rural Teacher Initiative event on Wednesday. Alibaba Group also confirmed that Jack Ma attended the online event.
Alibaba’s Hong Kong-listed shares jumped more than 6% after the reports of his reappearance, compared with a 0.64% rise in the Hang Seng index.
Ma’s public appearance comes as Alibaba plans to raise at least $5 billion through the sale of a U.S. dollar-denominated bond this month. Reuters reported the bond proceeds could reach $8 billion, which the e-commerce leader was likely to use for general corporate expenditure.
Alibaba is also the target of an antitrust investigation launched last month by Chinese authorities, who have in recent months accelerated a crackdown on anticompetitive behaviour in China’s booming internet space.
In the 50-second video, Ma, dressed in a navy pullover, spoke directly to the camera from a room with grey marble walls and a striped carpet. It was not clear from the video or the Tianmu News article where he was speaking from.
He addressed teachers receiving the Jack Ma Rural Teachers Award, who in previous years would have attended a ceremony organised by the Jack Ma Foundation in the Chinese seaside city of Sanya.
“We cannot meet in Sanya due to the epidemic,” he said in the speech, which did not discuss his whereabouts. “When the epidemic is over, we must find time to make up for everyone’s trip to Sanya, and then we will meet again!”
Xie Pu, founder of Chinese tech website Techie Crab, said the media and public had over-interpreted Ma’s move to lay low and that his step away from the public spotlight should not have been seen as a problem for Alibaba.
“We shouldn’t over-interpret his reappearance into public view this time, said Xie Pu, founder of Chinese tech website Techie Crab. “Alibaba still has a good governance structure — there are partners and a board of directors.”
(Reporting by Brenda Goh in Shanghai, Kane Wu and Sumeet Chatterjee in Hong Kong, Yingzhi Yang in Beijing; Editing by Tom Hogue and Gerry Doyle)
ComplyAdvantage Releases State Of Financial Crime Report For 2021
Designed as an must-have strategic roadmap for compliance teams, the comprehensive report covers financial crime insights related to fraud, cyber, and money laundering, the rise of crypto,
and the ever-changing sanctions landscape
ComplyAdvantage, a global data technology company transforming financial crime detection, today announced the availability of the firm’s much anticipated report The State Of Financial Crime 2021. Designed as a strategic guide for global compliance teams, the report lays out the many emerging threats that governments and financial institutions will face in 2021, along with prescriptive recommendations for implementing best compliance practices for combating financial crimes.
The research on which The State Of Financial Crime 2021 report is based was administered in November and December 2020. Interviews were conducted with 600 C-suite and senior compliance decision makers across North America, Europe, and Asia Pacific. The respondents represented enterprise banking, investments, crypto, insurance organizations, and fintechs.
One of the biggest challenges that compliance teams face is keeping current on the rapidly evolving regulations, and the advances of criminal behavior while balancing their organizations’ risk appetite. Risk indicators are also becoming harder to spot as the amount of information available grows exponentially and the speed of change gathers pace. This is why ComplyAdvantage has dedicated the company’s resources and anti-money laundering (AML) expertise in order to help compliance executives mitigate regulatory risks related to the most extreme AML financial crimes.
The State Of Financial Crime 2021 delves into the most important financial crime trends that Compliance Officers are most concerned with in the coming year. Specifically, these trends include increased fraud related to COVID-19 relief; risk vulnerabilities related to inconsistencies in global AML and counter financing of terrorism (CFT) system; the growth in sophistication of computer and mobile-enabled cybercrimes via payment systems; the continued use of sanctions as a tool of first resort and more.
A sample of key insights from the report include:
- SARs filing was on the rise with 74% of respondents saying they filed more SARS in 2020 than the previous year
- 93% of respondents stated that real-time AML risk data would improve their compliance operations
- Cybersecurity and third party risk management were noted as organizations’ biggest compliance-related pain points in 2020. With 54% of respondents ranking cybersecurity as a top pain point.
- 62% of respondents plan on upgrading their legacy systems in 2021.
- 54% of respondents plan on replacing or upgrading their transaction monitoring system in 2021.
“Due to the massive economic, political and social disruption brought about by COVID-19, international crime syndicates, rogue nations, global terrorists and cyber-criminals have become increasingly more aggressive, “said Charles Delingpolefounder and CEO of ComplyAdvantage. “Therefore, we felt it was imperative to prepare Compliance Officers and their teams for the potential onslaught of financial crimes driven by nefarious organizations.
Already the preferred choice of some of the world’s largest banks, enterprises and high-growth fintechs, ComplyAdvantage uses machine learning and natural language processing to help regulated organizations manage their risk obligations and prevent financial crime. The company’s proprietary database is derived from millions of data points that provide dynamic, real-time insights across sanctions, watchlists, politically exposed persons, and negative news. This reduces dependence on manual review processes and legacy databases by up to 80% and improves how companies screen and monitor clients and transactions.
ComplyAdvantage releases The State Of Financial Crime 2021 a comprehensive report covering financial crime trends related to fraud, cyber, and money laundering. #compliance #financialcrime #AML #antimoneylaundering #cybercrime
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