A rhombus-shaped support structure has sides 10 cm and one diagonal 16 cm. What is the other diagonal?
Show answer & explanation
Correct answer: D
Explanation
Given:
Side of rhombus = 10 cm
One diagonal = 16 cm
By formula:
In a rhombus, (d₁/2)² + (d₂/2)² = a²
d₁ = 16 ⇒ d₁/2 = 8
(8)² + (d₂/2)² = 10²
64 + (d₂/2)² = 100
(d₂/2)² = 36
d₂/2 = 6
d₂ = 12