Question

A square has each side of 5 cm. Find the length of one of its diagonals. ​

Answer 1

Answer:By pythagoras theorem (since two adjacent sides enclose an angle of 90°),

(5)² + (5)² = (Diagonal)²

⇒ 25 + 25 = (Diagonal)²

⇒ 50 = (Diagonal)²

⇒ Diagonal = √50

⇒ Diagonal = 5√2 cm.

Step-by-step explanation:please mark it as brainliest

Answer 2

Answer:

LENGTH OF DIAGONAL = 5√2 cm.

Step-by-step explanation:

Given,

Side = 5 cm.

By Pythagoras theorem,

Diagonal

$= \sqrt{2 \times (side) {}^{2} } \\ = \sqrt{2 \times {5}^{2} } \\ = 5 \sqrt{2}$

cm.