Question

it isosceles right angled triangle the congruent sides length is 8 cm find the length of diagonal​

Answer 1

Answer:

Diagonal = 11.3137

Step-by-step explanation:

According to Pythagoras Theorem,

(Side)^2 + (Side)^2 = (Diagonal)^2

Since for an Isosceles right angled triangle the adjacent or the congruent sides are of equal length , therefore

8^2 + 8^2 = ( Diagonal )^2

(Diagonal)^2 = 64 + 64

(Diagonal)^2 = 128

Diagonal =

$diagonal = \sqrt{128}$

Diagonal = 11.3137