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Question

An isosceles right triangle has area 8cm2. The length of its hypotenuse is


A

32cm

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B

16cm

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C

48cm

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D

24cm

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Solution

The correct option is A

32cm


Explanation for the correct option:

Find the equal sides of the isosceles right-angled triangle

Let the equal sides (base and height) of the triangle be acm.

We know that the area of the triangle =12×base×height

Since it is given that the area of the isosceles right triangle is 8cm2.

Now,

12×a×a=8a2=16a=4cm

Find the length of the hypotenuse

Pythagoras's theorem states that: hypotenuse=base2+height2

Now, the hypotenuse will be,

hypotenuse=(4)2+(4)2hypotenuse=16+16hypotenuse=32cm

Hence, the correct option is (a) 32cm.


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