. An isosceles right triangle has area 8 cm^2. The length of its hypotenuse is


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

A. √32cm

B. √16cm

C. √48cm

D. √24cm

Best Answer

Explanation:

Let height of triangle =h

As the triangle is isosceles,

Let base = height =h

According to the question, Area of triangle = 8 cm2

⇒1/2 × Base × Height = 8

⇒1/2 × h × h = 8

⇒h2 = 16

⇒h = 4cm

Base = Height = 1

Because the triangle is isosceles,

Hypotenuse2 = Base2 + Height2

Hypotenuse2 = 42 + 42

Hypotenuse2 = 32

Hypotenuse = √32

Final answer:

Hence, Option A is correct: √32cm

Talk to Our counsellor