Question

The sides of a rhombus are 5cm long and one of its angle is 100.Compute its area.

Answer 1

area = 1/2 * base * height
a = 1/2 * 5 * 5 * sin80
a = 12.5sin80

Answer 2

Answer: Area of the rhombus is 24.58 sq. cm.

Step-by-step explanation:

Since we have given that

Side of a rhombus = 5 cm

Measure of one of its angle = 100°

So, Half of its angle = 50°

So, Measure of first diagonal would be

$d_1=2\times 5\times \sin 50^\circ\\\\d_1=7.66\ cm$

Measure of second diagonal would be

$d_2=2\times 5\times \cos 50^\circ\\\\d_2=6.42$\

So, Area of diagonal would be

$\dfrac{1}{2}\times d_1\times d_2\\\\=\dfrac{1}{2}\times 7.66\times 6.42\\\\=24.58\ cm^2$

Hence, Area of the rhombus is 24.58 sq. cm.