Question

Suppose there is a triangle with sides a, b, and c and angles A, B, and C. Using the known given information below and the law of sines, what is the measure of side c? Round your answer to the nearest whole number, if necessary.

b = 11 cm

B = 80°

C = 54°


Answers


13 cm

15 cm

17 cm

9 cm

Answer 1

The measure of side c is 9 cm. The correct option is the last option 9 cm

Law of Sines

From the question, we are to determine the measure of side c

From the law of sines, we have that

$\frac{c}{sinC} =\frac{b}{sinB}$

From the given information,

b = 11 cm

B = 80°

C = 54°

Putting the parameters into the equation, we get

$\frac{c}{sin54^\circ} =\frac{11}{sin80^\circ}$

$c =\frac{11\times sin54^\circ}{sin80^\circ}$

c = 9.03647

c ≈ 9 cm

Hence, the measure of side c is 9 cm. The correct option is the last option 9 cm

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