Question

The hypotenuse of an isosceles right triangle is root 32 cm. What is its area ​

Answer 1

$\huge\bold\star\red{Answer}$

An isosceles right triangle has area 32 CM

Let the length of each sides of isosceles triangle be x (cm)

Area of triangle = 1/2 base x altitude

Area = 32cm² (given)

∴ , 32 = 1/2 x²

x² = 64

x = 8

length of base and height = 8

now, length of hypotenuse = √ (base)² + (altitude)²

length of hypotenuse = √ (8)² + (8)²

length of hypotenuse = √ 64 + 64

= √128 = 6√2 cm.....☺

Answer 2

Let the length of each sides of isosceles triangle be x (cm)

Area of triangle = 1/2 base x height

√32 = x+x

32= x²+x²

32/2 = x²

16 = x²

x=4

Area of triangle = 1/2 4 ✕ 4

                          8