Question

in a square of side 10 cm its diagonal is​

Answer 1

Answer:

when we draw diagonal right angle triangle will form,so we have to apply Pythagoras theoram in that triangle. Diagonal of square is 10√2 cm.

Answer 2

Step-by-step explanation:

ABCD is an Square having length of sides a and d is its diagonal.

Here sides AB = BC = CD = DA = a = 10 cm

Now consider the triangle ABC,which is a right angle triangle with ∠B = 90°

By Pythagoras theorem

AC² = AB² + BC²

d² = a² + a²

d² = (10cm)² + (10cm)²

d² = 200 cm²

So, d = √ (200cm²) = (10√ 2)cm

Now because every squares have two diagonals of equal length, So Diagonal AC = BD = d = (10√ 2)cm