Question

an isosceles right triangle has area 8 cm2. find the length of its hypotenuse

Answer 1

Answer:

$4 \sqrt{2}$

Step-by-step explanation:

kindly check the attachment for the stepwise solution and answer

Answer 2

Answer:

Hypotenuse = 4√2 cm

Step-by-step explanation:

In isosceles right triangle,

base = height = x (let)

Area formula = 1/2 * base * height

==: 8 = 1/2 * x * x

==: 8 * 2 = x²

==: x² = 16

==: x = √16

==: x = 4

According to phythagoras theorem,

==: Hypotenuse = √Base² + Height²

==: Hypotenuse = √4² + 4²

==: Hypotenuse = √16 + 16

==: Hypotenuse = √32

==: Hypotenuse = 4√2 cm

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