Question

ABCD is rhombus. DC = 5cm, AC = 6cm. Find the length of BD

Answer 1

BD = 8Cm

Explanation:

Given:

DC = 5cm

AC = 6cm.

Find;

BD = ?

Computation:

Rhombus's diagonal bisect each other at 90°

Using Pythagoras theorem

OD =
`√(AD^2-OA^2)`

OD =
`√(5^2-3^2)`

OD = 4 CM

So, BD = 2(OD)

BD = 2(4)

BD = 8Cm