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Q.

Determine which of them are right angled. In the case of a right triangle, write the length of its hypotenuse. where largest side is 13cm and  other two sides of the triangle as 5cm and 12cm


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a

7cm, 24cm, 25cm

b

3cm, 8cm, 6cm

c

50cm, 80cm, 100cm

d

13cm, 12cm, 5cm 

answer is D.

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Detailed Solution

Here the largest side is 13cm
We take other two sides of the triangle as 5cm and 12cm
Take the square of the two sides and them
Question ImageNow we can write RHS of the equation as
Question ImageQuestion ImageThese suit the Pythagoras theorem as the sum of the square of two sides is equal to the square of the largest side.
The triangle formed by sides 5cm, 12cm, and 13cm is a right having a hypotenuse of 13cm.
 
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