Math, asked by nidhicp1955, 1 year ago

An isosceles right angled triangle has area 32 cm2.find the length of its hypotenuse

Answers

Answered by HappiestWriter012
85
Hey there!

Let the equal sides of isosceles right triangles be a .

Now, Area = 1/2a²

Given that, Area of triangle = 32 .

So, From the above we can state that
1/2a² = 32
a² = 64
a = 8 .

So, The side of isosceles right triangle is 8cm.

Hypotenuse = √2 * equal side
= √2 * 8
= 8√2

Therefore, Length of hypotenuse of given triangle is 8√2 cm.
Answered by jatinn5800
19
Simple
.5*base*ht= triangle area
Base=height=a
Or A^2=64 or a=8
Hyp is a *root2. :8 root 2
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