Question

If the area of a rhombus is 100 cm² and the length of one of its digonal is 8 cm, then fmd the length of the other diagonal.

Answer 1

100=1/2×8×d
d=100/4=25
Area of rhombus =1/2×diagonal1×diagonal2

Answer 2

$\bold{ \underline{area \: of \: rhombus }\: = \frac{1}{2} \times \underline{product \: of \: diagonals}}$



$\bold{ \underline {area \: = 100 {cm}^{2}}} \\ \bold{ \underline{length \: of \: one \:diagonal \: = 8 \: cm}}$




Applying formula,


$\bold{ \:100 = \frac{1}{2} \times 8 \times other \: diagonal } \\ \\ \\ \bold{ \: \frac{100 \times 2}{8} = other \: diagonal } \\ \\ \\ \mathbf{ \: \underline{25cm =other \: diagonal }}$