Question

Find the length of diagonal of a square with side 10 cm

Answer 1

when we draw diagonal right angle triangle will form,so we have to apply Pythagoras theoram in that triangle.

$( {hypotenuse)}^{2} = ({side)}^{2} + {(side)}^{2} \\ {h}^{2} = 2 {(side)}^{2} \\ {h}^{2} = 2 \times {10}^{2} \\ {h}^{2} = 200 \\ {h} = \sqrt{200} \\ h = 10 \sqrt{2}$
Diagonal of square is 10√2 cm.

Answer 2

Answer: The diagonal of a square with side 10 cm is 10√2 cm

Step-by-step explanation:

As we know all the angles of a square is right angle and all sides are equal

As diagonal of a square divides the square in two right angles

Therefore diagonal will be the hypotenuse of the right angle triangle

By Pythagoras  Theorem we have

$(Hypotenuse)^2 =(Base)^2 +( Perpendicular)^2\\\\\Rightarrow Diagonal = \sqrt{10^2+10^2} =10\sqrt{2} cm$

Hence, the diagonal of a square with side 10 cm is 10√2 cm