The perimeter of a rhombus is 52 cm. One of the diagonal is 24 cm. What is the length (in cm) of the other diagonal?
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Correct answer: C
Explanation
Perimeter = 52 cm
One side = 52/4 = 13 cm
One diagonal = 24 cm
The diagonals bisect each other at right angles.
Half of the first diagonal = 24/2 = 12 cm
Let half of the second diagonal = x
In the right-angled triangle -
13² = 12² + x²
169 = 144 + x²
x² = 25
x = 5
Second diagonal = 5 × 2 = 10 cm