Question

An iscoceles right angled triangle has an area of 8 cm square. Find the hypotenuse by Heron's formula.....
Please

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

(a) Given, area of an isosceles right triangle = 8 cm2

Area 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 cm ,

In ΔABC, using Pythagoras theorem :

AC2 = 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.

Hope it helps you.