Question

Find the length of the rectangle whose diagonal is 20 cm and breadth is 12 cm.

Answer 1

Answer:

16cm

Step-by-step explanation:

ABCD is a rectangle, lengths are AB and CD and AB=CD,

Breadths are BC and DA and BC=DA, BC=12cm

BD is diagonal. BD= 20cm

BD is also the hypotenuse of the traiangle BCD

According to Pythagoras Theorem, (BD)^2= (BC)^2+ (CD)^2

(CD)^2= (BD)^2- (BC)^2= (20^2-12^2) cm^2=(400-144) cm^2= 256cm^2

So, CD= 16cm

So, length of the rectangle is 16cm