Question

in an isosceles right Triangle the length of hypotenuse is 4 root 2 find the length of each side

Answer 1

In an isosceles right triangle, the square if hypotenuse is equal to the sum of squares of other two sides.
If the length of the other side is x then
x^2+x^2 = (4√2)^2
2x^2=32
x=4
The lengths of sides are 4,4,4√2

Answer 2

Hypotenuse = 4√2

As it is isosceles right angled triangle, the remaining two sides are equal.
So, base = height
Let the base and height be x

We know that,
hypotenuse² = base² + height²
(4√2)² = x² + x²
16(√2)² = 2x²
16(2) = 2x²
2x² = 32
x² = 32/2
x² = 16
x = √16
x = 4

Therefore, the length of other two sides are 4 i.e., base = height = 4
hope it helps…