The area of a rhombus is 150 cm2. If the length of one of its diagonals is 10 cm, then the length of the other diagonal is:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 30 cm
The diagonals of a rhombus cut it into four equal right triangles, so its area is half the product of the diagonals: \(\frac{1}{2}d_1d_2\).
The area is 150 cm2 and one diagonal is 10 cm: \(\displaystyle 150=\frac{1}{2}\times10\times d_2\)
\(150=5d_2\), so \(d_2=30\) cm