Question

The area of the Rhombus is $$60\,cm^{2}.$$ If one diagonal is $$10\,cm,$$ then the other diagonal is how many cm.

Answer 1

$$ {\textbf{Step -1: Information}} $$

$$ {\text{Provided area of rhombus is A = 60c}}{{\text{m}}^2}. $$

$$ {\text{also given one diagonal is 10cm}} $$

$$ {d_1} = {\text{diagonal of one side = 10cm}} $$

$$ {d_2} = {\text{diagonal of another side}} $$

$$ {\textbf{Step -2: Find another diagonal using area of rhombus formula}} $$

$$ {\text{Area of Rhombus = }}\dfrac{1}{2} \times {d_1} \times {d_2} $$

$$ \Rightarrow 60 = \dfrac{1}{2} \times 10 \times {d_2} $$

$$ \Rightarrow {d_2} = \dfrac{{60 \times 2}}{{10}} $$

$$ \Rightarrow {d_2} = 12 $$

$$ {\textbf{Hence, another diagonal is 12 cm }}. $$