The length of each side of a rhombus is 10 cm. If the length of one of its diagonals is 16 cm, then what is the area of the rhombus?
Answer & explanation
Correct answer: option 4
Given = The length of each side of a rhombus =10 cm.
The length of one of its diagonals = 16 cm
We know that,
CB2 = OB2 + OC2
102 = 82 + OC2
100 = 64 + OC2
OC2 = 100 - 64 = 36
OC = \(\sqrt {36}\) = 6
Then diagonal AC = 6 × 2 = 12
We know that the area of the rhombus = \(\frac{1}{2}\) × D1× D2
= \(\frac{1}{2}\) × 12 × 16 = 96cm2