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3 years ago

Please help. Solve the triangle. Round ans to the nearest tenth.

Mathematics

1 answer:

White raven [17]3 years ago

4 0

9514 1404 393

Answer:

C = 21°
a = 13.3
c = 5.4

Step-by-step explanation:

The third angle can be found from the sum of angles in a triangle.

A + B + C = 180°

C = 180° -62° -97°

C = 21°

The remaining side lengths can be found using the Law of Sines.

a/sin(A) = b/sin(B)

a = sin(62°)(15/sin(97°)) ≈ 13.34

Similarly, ...

c/sin(C) = b/sin(B)

c = sin(21°)(15/sin(97°)) ≈ 5.42

The remaining side lengths are approximately ...

a ≈ 13.3

c ≈ 5.4

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