An isosceles right angled triangle has area 32 cm2.find the length of its hypotenuse
Answers
Answered by
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.
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
19
Simple
.5*base*ht= triangle area
Base=height=a
Or A^2=64 or a=8
Hyp is a *root2. :8 root 2
.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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