Question : One side of a rhombus is 13 cm and one of its diagonals is 10 cm. What is the area of the rhombus (in cm2)?
Option 1: 60
Option 2: 90
Option 3: 30
Option 4: 120
Correct Answer: 120
Solution : Side of a rhombus, $a$ = 13 cm Diagonal, $d_1$ = 10 cm Let $d_2$ be the second diagonal. So, $(\frac{d_1}{2})^2 + (\frac{d_2}{2})^2 = a^2$ ⇒ $(\frac{10}{2})^2 + (\frac{d_2}{2})^2 = 13^2$ ⇒ $(\frac{d_2}{2})^2 = 169-25 = 144$ ⇒ $(\frac{d_2}{2}) = \sqrt{144}$ ⇒ $d_2 = 12 × 2 = 24$ Now, the area of rhombus = $\frac{1}{2}d_1d_2$ = $\frac{1}{2} × 10 × 24$ = 120 cm$^2$ Hence, the correct answer is 120.
Result | Eligibility | Application | Selection Process | Cutoff | Admit Card | Preparation Tips
Question : One side of a rhombus is 13 cm and one of its diagonals is 24 cm. What is the area (in cm2) of the rhombus?
Question : Find the area of a rhombus if the perimeter of the rhombus is 52 cm, and one of its diagonals is 10 cm long.
Question : If the perimeter of a rhombus is 40 cm and one of its diagonals is 16 cm, what is the area (in cm2) of the rhombus?
Question : The area of a rhombus having one side measuring 17 cm and one diagonal measuring 16 cm is:
Question : If the perimeter of a rhombus is 80 cm and one of its diagonals is 24 cm, then what is the area (in cm2) of the rhombus?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile