Question

the length of one side of a right triangle is 24 cm and the length of its hypotenuse is 40 cm find the length of its third side ​

Answer 1

Answer:

THIRD SIDE (base) =32CM.

Step-by-step explanation:

LET THE perpendicular =24

hypotenuse =40

Base=?

apply Pythagoras theorem.

hypotenuse^2=Base^2+perpendicular^2.

40^2=base^2+24^2

base^2=1600-576

base =√1024

base=32cm.

hope it's helps you.....

Answer 2

We know that by pythagoras theorem ,

${ac}^{2} = {ab}^{2} + {bc}^{2}$

${40}^{2} = {24}^{2} + {x}^{2}$

$1600 - 576 = {x}^{2}$

$1024 = {x}^{2}$

x = 32

hence the third side is 32cm

Hope it will help you .