Question

An isosceles right angle has area 8 sq.cm. The length of its hypotenuse is​

Answer 1

Answer

(a) Given, area of an isosceles right triangle = 8cm

2Area 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 cmIn

ΔABC, using Pythagoras theoremAC2 = AB2 + BC2 = 42 + 42 = 16 + 16⇒ AC2 = 32 ⇒ AC = √32 cm

[taking positive square root because length is always positive]

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

Step-by-step explanation:

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