The perimeter of a rhombus is 68 cm. One of the diagonal is 30 cm. What is the ratio of the two diagonals?
Show answer & explanation
Correct answer: B
Explanation
Perimeter of the rhombus = 68 cm
Side of the rhombus = 68 ÷ 4 = 17 cm
Half of the diagonal = 30 ÷ 2 = 15 cm
Half of the other diagonal = x cm
17² = 15² + x²
289 = 225 + x²
x² = 64
x = 8 cm
Other diagonal = 2 × 8 = 16 cm
Ratio of the two diagonals = 30 : 16 = 15 : 8