In the diagram below, E T, E, T, end overline is parallel to W A, W, A, e. Find the perimeter of △ P A W △PAWtriangle, P, A, W.
If entering your answer as a decimal, round your final answer to the nearest hundredth.
1 answer:
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Answer:
6. 60°
7. 5.19559
8. 7.96011
Step-by-step explanation:
6. The sum of angles in a triangle is 180°, so the remaining angle is ...
180° -40° -80° = 60°
7. The lengths of sides are proportional to the sine of the opposite angle (Law of Sines).
a = c·sin(A)/sin(C) = 7·sin(40°)/sin(60°) ≈ 5.19559
8. Same explanation as 7.
b = c·sin(B)/sin(C) = 7·sin(80°)/sin(60°) ≈ 7.96011
