Question

Find the length of a diagonal of square of side 12 cm. With step by step explanation please...​

Answer 1

Answer:

17 cm

Step-by-step explanation:

Angles between sides of a square is 90 degree

Hence a diagonal divides a square into 2 right angled triangles

In this case, A right angled triangle with Height=base=12 cm

using Pythagoras theorem

12^2 + 12^2 = diagonal^2

144 + 144 = diagonal^2

288 = diagonal^2

diagonal = √288

diagonal = 16.97 cm

Therefore Length of diagonal id approximately equal to 17 cm