Question

side of square is 5cm, find its diagonal​

Answer 1

Answer:

by Pythagorean theroem

(5^2)+(5^2) =(diagonal)^2

25+25=(diagonal)^2

50=(diagonal)^2

diagonal=√50

diagonal=5√2cm.

hope this helps you mate ✨

Answer 2

Answer: $\sqrt{50}$ = 7.071 cm

Step-by-step explanation: The diagonal of a square divides the square in to two right angled triangles of equal area.

Thus using Pythagoras theorem:

$hypotenuse^{2} = base^{2} + height^{2}$

Since for a square all sides are equal base and height becomes equal

which is 5 cm and hypotenuse becomes the diagonal.

Hence from Pythagoras theorem:

$diagonal^{2} = 5^{2} + 5^{2} \\\\diagonal^{2} = 25+25\\\\diagonal = \sqrt{50} cm \\\\diagonal = 7.071 cm$