Question

the area of rhombus is 98 cm if one diagonal is 16cm. find other ( answer is 10)

Answer 1

Hello!

• D₁ = $\bf{16 \:cm}$
• Area of rhombus = $\bf{98\: cm^{2}}$

Then,

$\sf Area \:of\:rhombus = 98\: cm^{2} \\ \\ \implies \dfrac{1}{2} \times \sf D_{1} \times \sf D_{2} = 98 \\ \\ \implies \sf \dfrac{1}{2} \times 16 \times \sf D_{2} = 98 \\ \\ \implies 8 \times \sf D_{2} = 98 \\ \\ \implies \sf D_{2} = \dfrac{98}{8} \: \sf cm \implies \boxed{\red{\bf{12.25\: cm}}}$

Cheers!