Question

if the daigonal of a rectangle meausure 65 cm and its sides are in the ratio 12:5 find the side of the rectangle

Answer 1

If we use pythagoras theorem,
side2 + side2 = diagonal2

therefore, as the sides are in ratio 12:5,
side A = 12x, side B = 5x

Therefore,

(12x)2 + (5x)2 = (65)2

144x2 + 25x2 = 4225

169x2 = 4225

x2 = 4225/169

x2 = 25

x = √25

X = 5

side A = 12×5= 60cm

side B = 5×5= 25cm

HOPE IT HELPS