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

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

User Behr
by
8.1k points

2 Answers

3 votes
I'm going to say the answer is 16cm, so the measure of C = 16cm
User Manuels
by
7.4k points
1 vote
we know that

the area of a triangle is
A=1/2 * a * c * sin (B°)
so
1/2 * 6 * c * sin (30°) = 24---------> 3*c*(1/2)=24--------> c=16 units

the answer is c=16 units
User Rajpara
by
7.1k points
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