An isosceles right triangle has area 8 cm2. The length of its hypotenuse is

Question

Philoid · Accepted Answer

Let height of triangle = h

As the triangle is isosceles, base = height = h

Area of triangle = 8cm² (given)

⇒ 1/2 × Base × Height = 8

⇒ 1/2 × h × h = 8

⇒ h² = 16

⇒ h = 4cm

Base = Height = 4cm

As the triangle is right angled,

Hypotenuse² = Base² + Height²

⇒ Hypotenuse² = 4² + 4²

⇒ Hypotenuse² = 32

⇒ Hypotenuse = √ 32

Hence, the answer is Options A.