Question

the hypotenuse of right triangle is 75 cm.If one of the sides is of length 21 cm,find the length of the other side

Answer 1

Let the length of other side be 'x'.
Length of hypotenuse (h) = 75 cm
Length of first side = 21 cm

By Pythagoras theorem,
h^2 = (side 1)^2 + (side 2)^2

So, (75)^2 = (21)^2 + (x)^2

So, 5625 = 441 + (x)^2

So, (x)^2 = 5625 - 441

So, (x)^2 = 5184

So, x = √5184

So, x = 72


Thus the length of the other side is 72 cm.