Question

Area of rhombus is 96 sq.cm.
one of the diagonals is 12 cm
find the length of its side.
( explain in details​

Answer 1

Answer:

length of each side of the given rhombus = 10 cm

Step-by-step explanation:

Given,

Area of a rhombus = 96 cm²

Length of one diagonal  (d1) = 12 cm

Therefore,

Area of rhombus = 1/2 × d1 × d2

                       96 = 1/2 × 12 × d2

                       96 = 6 × d2

                       d2 = 16cm

Now,

Hyp = $\sqrt{{(\frac{d1}{2})^{2} }+({\frac{d2}{2})^{2}}$

       = $\sqrt{{(\frac{16}{2})^{2} }+({\frac{12}{2})^{2}}$

       = $\sqrt{{(8)^{2} }+({6)^{2}}$          

       = 10 cm

Hence, length of each side of the rhombus is 10 cm.