Math  /  Trigonometry

QuestionSolve the triangle. a=7.232 in c=6.525 in B=73.27\mathrm{a}=7.232 \text { in } \mathrm{c}=6.525 \text { in } B=73.27^{\circ}
What is the length of side bb ? \square in (Round to the nearest thousandth as needed.) What is the measure of angle A? \square (Round to the nearest hundredth as needed.) What is the measure of angle C? \square (Round to the nearest hundredth as needed.)

Studdy Solution
Use the Triangle Angle Sum Theorem to find the measure of angle C C :
The Triangle Angle Sum Theorem states:
A+B+C=180 A + B + C = 180^\circ
Substitute the known values:
57.47+73.27+C=180 57.47^\circ + 73.27^\circ + C = 180^\circ
Solve for C C :
C=18057.4773.27 C = 180^\circ - 57.47^\circ - 73.27^\circ
C49.26 C \approx 49.26^\circ
The length of side b b is:
8.204 in \boxed{8.204 \text{ in}}
The measure of angle A A is:
57.47 \boxed{57.47^\circ}
The measure of angle C C is:
49.26 \boxed{49.26^\circ}

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