If the length of diagonals of a rhombus are 10 cm and 24 cm then the side of the rhombus is
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 13 cm
The diagonals of a rhombus bisect each other at right angles. So each side is the hypotenuse of a right-angled triangle whose legs are half of each diagonal.
Half of the diagonals: \(\displaystyle \frac{24}{2}=12\) cm and \(\displaystyle \frac{10}{2}=5\) cm
Side \(=\sqrt{12^{2}+5^{2}}=\sqrt{144+25}=\sqrt{169}=13\) cm