Question

if diagonal of square is 10√2 cm then find the side of a square​

Answer 1

10cm is the answer because 10*sqrt2/sqrt2=10

Answer 2

S O L U T I O N:

Given that,

→ Diagonal of a square is 10√2 cm.

To Find: We have to find out the side of the square.

★ Let us assume that the side of the square is a cm. (See fig)

By Pythagoras Theorem,

→ Hypotenuse² = Height² + Base²

As all sides of a square are equal,

→ (10√2)² = a² + a²

→ 200 = 2a²

→ 2a² = 200

→ a² = 100

→ a = √100

→ a = ±10

As length of sides cannot be negative, so,

→ a = 10 cm.

★ Thus, the length of each side of the square is 10 cm.

A N S W E R:

• The length of each side of the square is 10 cm.

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