in a square of side 10 cm it,s diagonal
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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.
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