Question

Find the area of a rhombus with the measure of its side = 16 cm and altitude = 6 cm. If the

length of one of its diagonal is 12 cm, find the length of the other diagonal.​

Answer 1

Answer:

Given :-

Side = 16 cm

Altitude = 6 cm

To Find :-

Other Diagonal

Solution :-

We know that

Area = Side × Altitude

Area = 16 × 6.

Area = 96 cm²

Since

Area of rhombus = ½ × D1 × D2

• Let the other Diagonal be x

$\sf \: 96 = \dfrac{1}{2} \times 12 \times x$

$\sf \: 96 = 6 \times x$

$\sf \: 96 = 6x$

$\dfrac{96}{6} = \sf \: x$

$\bf \: 16 = x$

Other Diagonal measure 16 cm