-
The sides of a rhombus are 10 cm each and a diagonal measures 16 cm. Area of the rhombus is
-
- 96 sq.cm
- 160 sq.cm
- 100 sq. cm
- 40 sq.cm
- 96 sq.cm
Correct Option: A
Using Rule 12,
AB = BC = CD = DA = 10 cm
AC = 16 cm
In ∆OAB OA = 8 cm
AB = 10 cm
∠AOB = 90°
∴ OB = √AB² - OA²
= √10² - 8²
= √(10 + 8)(10 - 8)
= √18 × 2 = √36
= 6 cm
∴ BD = 2 × OB = 2 × 6 = 12 cm
∴ Area of rhombus ABCD
= | d1 × d2 | |
2 |
= | × 16 × 12 = 96 sq. cm. | |
2 |