Question

Area of a right isosceles triangle is 8 cm², find it's hypotenuse.​

Answer 1

Answer:

√32 cm

Step-by-step explanation:

Question:

Area of a right isosceles triangle is 8 cm², find it's hypotenuse.

Solving:

let the height of the triangle be X

• The triangle is an isosceles triangle.

Base = height = X

According to the question,

Area of the right isosceles triangle is 8 cm²

So,

1/2 × base × height = 8 cm²

➙ 1/2 × h × h = 8 cm²

➙ 1/2 × h² = 8 cm²

➙ h² = 8 cm² × 2

➙ h² = 16 cm²

➙ h = √16 cm²

➙ h = 4 cm

Base = Height = 4 cm

Since the triangle is a right angle triangle,

hypotenuse² = Base² + Height ²

➙ hypotenuse² = (4 cm)² + (4 cm)²

➙ hypotenuse² = 16 cm² + 16 cm²

➙ hypotenuse² = 32cm²

➙ hypotenuse = √32 cm²

➙ hypotenuse = √32 cm

Hope it's helpful for you!