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Maths-

General

Easy

Question

An isosceles right angled triangle has area 8 cm² . Find the length of its hypotenuse.

hint Hint:

In right angled isosceles triangle, base and height have equal length

The correct answer is: 5.64 cm

We know that base and height have equal length in right angled isosceles triangle.
Let base = height = x
It is given that Area of the triangle = 8 cm²
$1 half cross times b cross times h$ = 8
$1 half cross times$ x² = 8
x² = 16 ⇒ x = 4 cm
So, base = 4 cm = height
Using Pythagoras theorem,
Hypotenuse² = Base² + Height² = 4² + 4² = 2 $cross times$ 8²
Hypotenuse = 4 $square root of 2$ cm
( $square root of 2$ = 1.41)
= 5.64 cm

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