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01.07.2020 •
Mathematics
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In ΔABC, ∠A measures 132° and the values of b and a are 36 and 70, respectively. Find the remaining measurements of the triangle, and round your answers to the nearest tenth. **
∠B = 82.2°, ∠C = 62.8°, c = 40.6
∠B = 82.2°, ∠C = 62.8°, c = 30
∠B = 22.5°, ∠C = 25.5°, c = 40.6
∠B = 22.5°, ∠C = 25.5°, c = 30
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Ответ:
∠B = 22.5°, ∠C = 25.5°, c = 40.6
Step-by-step explanation:
an angle and 2 sides are given. It just so happens that the angle is across from one of the sides. Using the Law of Sines to find the missing angle B first.
36 sin(132) = 70 sinB and
and
sinB=0.3821887674
B=(0.3821887674)
B = 22.5
Now, find C using the Triangle Angle-Sum Theorem .
C = 180 - 132 - 22.5
C = 25.5 degrees
Using the Law of Sines again with angle A and side A and angle C:
and
c=40.6
It is the third option there. Locate the third B and that's where you solution starts.
Ответ:
Step-by-step explanation: