Ex 6.5, 4 Which of the following can be the sides of a right triangle? (iii) 1.5 cm, 2cm, 2.5 cm. In the case of right-angled triangles, identify the right angles. Given sides,
1.5 cm, 2 cm, 2.5 cm
We know that,
Hypotenuse is the largest side.
So, Hypotenuse = 2.5 cm
Checking Pythagoras Theorem
〖(𝐻𝑦𝑝𝑜𝑡𝑒𝑛𝑢𝑠𝑒)〗^2 = 〖(𝐵𝑎𝑠𝑒)〗^2 + 〖(𝑃𝑒𝑟𝑝𝑒𝑛𝑑𝑖𝑐𝑢𝑙𝑎𝑟)〗^2
〖(𝐵𝑎𝑠𝑒)〗^2 + 〖(𝑃𝑒𝑟𝑝𝑒𝑛𝑑𝑖𝑐𝑢𝑙𝑎𝑟)〗^2
= 〖(1.5)〗^2 + 〖(2)〗^2
= (15/10)^2 + 4
= 225/100 + 4
= (225 + 400)/100
= 625/100
= 6.25
Since L.H.S = R.H.S
Pythagoras theorem is satisfied
Hence, 2.5 cm, 6.5 cm, 6 cm form sides of a right triangle
While making ∆ABC,
right angle should be opposite Hypotenuse side
Hence ∠ B = 90°

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

Hi, it looks like you're using AdBlock :(

Displaying ads are our only source of revenue. To help Teachoo create more content, and view the ad-free version of Teachooo... please purchase Teachoo Black subscription.

Please login to view more pages. It's free :)

Teachoo gives you a better experience when you're logged in. Please login :)

Solve all your doubts with Teachoo Black!

Teachoo answers all your questions if you are a Black user!