Question

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

A. √32cm
B. √16cm
C. √48cm
D. √24cm
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Answer 1

Answer:

option A . √32 cm

Explanation:

Let height of triangle be h.

As this triangle is issosceles , base = height=h

Area of triangle = 8cm^2 (given)

⇒ 1/2×base × height = 8

⇒ 1/2×h×h=8

⇒ h^2=16

⇒ h= 4cm.

⇒ Base = Height= 4 cm.

As the triangle is hypotenuse.

Hypotenuse^2 = Base^2 + Height^2

⇒ Hypotenuse^2 = 42 + 42

⇒ Hypotenuse^2 = 32

⇒ Hypotenuse = √ 32

Hence, the answer is Options A.

Hope it helps you..✨

Answer 2

Answer:

Option A is the correct answer.

√32cm.