Question

The area of a rhombus is 320cm^2 and one of the diagonal is 32cm, find the other diagonal​

Answer 1

Other diagonal is "20 cm".

Step-by-step explanation:

Given,

The area of a rhombus =  320 $cm^{2}$ ,first diadonal = 32 cm

and second diagonal = ?

We know that,

The area of a rhombus = $\frac{1}{2}$ × first diadonal × second diagonal

⇒  $\frac{1}{2}$ × first diadonal × second diadonal = 320 $cm^{2}$

⇒  $\frac{1}{2}$ × 32 × second = 320 $cm^{2}$

⇒ 16 × second diadonal = 320

⇒ Second diadonal = $\frac{320}{16\\}$ = 20 cm

Hence, other diagonal = 20 cm.