A rhombus has sides of 5 inches in length, two 60 degree angles, and two 120 degree angles. What is its area?

1 Answer
Jun 19, 2018

#color(violet)("Area of Rhombus " = a^2 sin theta = 21.65 " sq inch"#

Explanation:

#"Area of Rhombus " = a^2 sin theta#

#"Given " a = 5 " in", theta = 60^@#

#"Area of Rhombus " = A_r = 5^2 sin (60) =( 5^2 * sqrt3)/2 " sq in"#

#A_r = 21.65 " sq inch"#