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Solve each triangle. Round answers to the nearest tenth, if necessary.

Solve each triangle. Round answers to the nearest tenth, if necessary.-example-1
User Lodz
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1 Answer

1 vote

Given the triangle DEF.

Angle E = 71.2˚

e = 29.5 cm

f = 30.3 cm

We are to solve for each triangle.

Using laws of sine:

a = b = c

sinA SinB SinC

In this case we will have:

e = f

SinE SinF

29.5 = 30.3

sin 71.2˚ sinF

cross multiply

sinF(29.5) = sin 71.2˚(30.3)

sinF = sin 71.2˚(30.3)

sin 29.5

sinF = 0.9466 * 30.3

0.4924

sinF = 58.2524

User Alexander Sysoev
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5.6k points