Question

The area of triangle ABC is 24 square centimeters. If B = 30° and a = 6 cm, what is the measure of side c? 4 cm 8 cm 16 cm 32 cm

Answer 1

16 cm

Explanation:

Given : The area of triangle ABC is 24 square centimeters.

To Find: If B = 30° and a = 6 cm, what is the measure of side c?

Solution:

Formula :
`Area = (1)/(2) * a * c * sin B`

a = 6

Area = 24

B = 30°

Substitute the values in the formula

`24 = (1)/(2) * 6 * c * sin 30`

`24 = (1)/(2) * 6 * c * (1)/(2)`

`24 =3 * c * (1)/(2)`

`(24 * 2)/(3) =c`

`16=c`

Hence the measure of side c is 16 cm

So, Option c is correct.