Question

A rhombus of side 30 cm has two angles of 120 each. Then the length of diagonals

Answer 1

Answer:

Step-by-step explanation:

rhombus are 60° each. ⇒ other pair of angles are 120° each. Diagonal of a rhombus bisects the angles at the vertices. ∴ Three angles of the triangle formed by the diagonal of a rhombus are 60° each. ⇒ The triangle formed by the rhombus is an equilateral triangle. ⇒ The length of the diagonal of the rhombus = length of the side = 20 cm Diagonals bisect each other. ∴ Length of the half of the diagonal = 20/2 = 10 cm Length of the half of the other diagonal = √[(10)2 + (20)2] = √(100 + 400) = √(500) = √(5 x 100) = 10 √5. Length of the other diagonal of the rhombus = 2 x 10√5 = 20√5 cm