Question

Find the area of the rhombus. Leave your answer in simplest radical form.

60°
9

A) 18/3
B) 8176
C) 16273
D) 150/3​

Answer 1

162√3.

Explanation:

Area = 1/2 * p * q where p and q are the diagonals.

Here p = 2*9 = 18 and we need to find q.

tan 60 = 0.5q/9

0.5q = 9 tan 60 = 9*√3

q = 18√3

So the area of this rhombus

= 1/2 * 18*18√3

= 162√3

=