Question

find the area of a rhombus whose side is 6.5 cm and altitude is 5 cm. if one of its diagonal is 13 cm long, find the length of other diagonal.
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Answer 1

Since,a rhombus is also a kind of a parallelogram.

Formula of area of rhombus =Base×Altitude

Putting values, we have

Area of rhombus =6.5×5=32.5

Since, Area of rhombus is 32.5 cm².

Also,formula for area of rhombus =$\frac{1}{2}×d_1d_2$

Given,Length of one diagonal =$d_1$=13

Let length of other diagonal =$d_2$

After substituting the values, we get

$32.5=\frac{1}{2}×13×d_2$

$32.5=6.5×d_2$

$6.5×d_2=32.5$

$d_2=\frac{32.5}{6.5}$

$d_2=5$

Hence, length of other diagonal is 5 cm.