Question

An isoceles right triangle has area 8cmsquare. The length of its hypotenuse is what

Answer 1

Answer:

√32

Step-by-step explanation:

Given, area of an isosceles right triangle= 8 cm²

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

⇒8=12(Base×Base)   [base=height, as triangle is an isosceles triangle]

⇒(Base)²=16  ⇒ Base=4 cm

In △ ABC, using Pythagoras theorem,

AC2=AB2+BC2

= 42+42

= 16+16

⇒ AC²=32

⇒ AC= √32 cm

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