Question

An isosceles right triangle has area
8cm^2.Find the length of itshypotenuse.​

Answer 1

Step-by-step explanation:

Answer. Hence, the length of its hypotenuse is √32 cm

Answer 2

Step-by-step explanation:

Given, area of an isosceles right triangle = 8 cm2

Area of an isosceles triangle = 1/2 (Base x Height)

⇒ 8 = 1/2 (Base x Base)

[∴ base = height, as triangle is an isosceles triangle]

⇒ (Base)2 =16 ⇒ Base= 4 cm

In ΔABC, using Pythagoras theorem

$ac ^{2} = ab ^{2} + bc ^{2} \\ ac ^{2} = 4 ^{2} + 4 ^{2} \\ ac ^{2} = 16 + 16 \\ ac ^{2} = 32 \\ ac = \sqrt{32}$

[taking positive square root because length is always positive]

Hence, the length of its hypotenuse is √32 cm.

hope it helps