Mathematics: 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

The area of triangle abc is 24 square centimeters.

jordan84546

14.03.2022

16 cm

Step-by-step 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 : $Area = \frac{1}{2} \times a \times c \times sin B$

a = 6

Area = 24

B = 30°

Substitute the values in the formula

$24 = \frac{1}{2} \times 6 \times c \times sin 30$

$24 = \frac{1}{2} \times 6 \times c \times \frac{1}{2}$

$24 =3 \times c \times \frac{1}{2}$

$\frac{24 \times 2}{3} =c$

16=c

Hence the measure of side c is 16 cm

So, Option c is correct.

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