Question

what will be the length of third side of a right angled triangle whose hypotenuse is 5 cm and one of the side is 3 cm​

Answer 1

Answer:

$according \: \: to \: \: pythagoras \: \: theorem \\ base {}^{2} + height {}^{2} = hypotenuse {}^{2} \\ let \: \: the \: \: \: \: base \: \: be \: \: \: y \\ y {}^{2} + 3 {}^{2} = 5 {}^{2} \\ y {}^{2} = 25 - 9 \\ y {}^{2} = 16 \\ y = 4cm \: \: \: \: \: ans.$

Hope it will help you.

Answer 2

Answer :

The third side is 4 cm.

Step by step Explanation :

Let the third side be x.

According to Pythagoras theorem,

(base)² + (Perpendicular side)² = (Hypotenuse)²

x² + 3² = 5²

x² + 9 = 25

x² = 25 - 9

x² = 16

x = √16

x = 4

Hence, the third side is 4 cm.