Question

An isosceles right triangle has area 8 sq cm. The length of its hypotenuse is ​

Answer 1

Answer:

√32 cm

Step-by-step explanation:

We Know That,

area of triangle=(1/2)×base×height

Base and Height are equal in a isoceles right angle triangle.

So,let the base be 'x' cm

Now,the formula becomes

Ar of triangle=(1/2)×x²

8=(1/2)x²

8×2=x²

16=x²

x²=√16

Therefore, x=4 cm

Now,

We know that,

Hypotenuse=√(side1²+side2²)

Hypotenuse=√(4²+4²)

Hypotenuse=√(16+16)

Hypotenuse=√32 cm

Hope you understand