Question

9. The lengths of the diagonals of a rhombus are 16 cm and 12 cm. Find the side of the rhombus.​

Answer 1

$\large\underline{\underline\mathtt\red{QUESTION}}$

The lengths of the diagonals of a rhombus are 16 cm and 12 cm. Find the side of the rhombus.

$\large\underline{\underline\mathtt\green{SOLUTION}}$

GIVEN

• Length of 1st diagonal =16 cm
• Length of 2nd diagonal = 12cm

FORMULA

$\large\bold{a =\frac{\sqrt{p²+q²}}{2}}$

where

• "a" is the side of the rhombus.
• "p" and "q" are the diagonals of rhombus.

TO FIND

• Side of the rhombus.

According to question

$\large\bold{a =\frac{\sqrt{p²+q²}}{2}}$

$\large\implies\bold{a =\frac{\sqrt{16²+12²}}{2}}$

$\large\implies\bold{a =\frac{\sqrt{256+144}}{2}}$

$\large\implies\bold{a =\frac{\sqrt{400}}{2}}$

$\large\implies\bold{a =\frac{20}{2}}$

$\large\implies\bold{a = 10}$