Find the length of the side of a square if the length of its diagonal is 10cm.

Solution:

Given, the length of diagonal of a square is 10 cm.

We have to find the length of the side of a square.

Let us consider a square ABCD with side y.

Diagonal AC = 10 cm

Considering triangle ABC,

ABC is a triangle right angled at B

By Pythagorean theorem,

AC² = AB² + BC²

(10)² = y² + y²

100 = 2y²

y² = 100/2

y² = 50

Taking square root,

y = √50

= 5√2

Therefore, the side of the square is 5√2 cm.

✦ Try This: Find the length of the side of a square if the length of its diagonal is 25 cm.

☛ Also Check: NCERT Solutions for Class 8 Maths

NCERT Exemplar Class 8 Maths Chapter 3 Problem 110

Find the length of the side of a square if the length of its diagonal is 10cm

Summary:

The length of the side of a square if the length of its diagonal is 10 cm, is 5√2 cm.

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