Question

The length of the diagonals of a rhombus are 16cm and 12cm. The length of each side of the rhombus is

(a) 8 cm (b) 9 cm (c) 10 cm (d) 12 cm

Answer 1

(c) 10 cm

Explanation:

Let ABCD be rhombus with AC and BD diagonals.

Let AC and BD bisect at O.

Therefore AO = 16/2=8

BO = 12/2=6cm

In right angled triangle AOB, by Pythagoras theorem we can write as

AB²=AO²+OB²

AB²=8²+6²

AB²= 64 + 36

AB= √ 100

AB =10

Length of rhombus is 10 cm