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Lesechka [4]
2 years ago
12

Solve the triangle. A = 52°, b = 10, c = 7 (5 points)

Mathematics
1 answer:
Ludmilka [50]2 years ago
3 0

The solutions to this triangle are:

  • 7.9
  • 44.1 degrees
  • 83.7 degrees

<h3>How to solve for the triangle</h3>

Using the law of cosine we would have

a²=b²+c²-2bc cos A

a² =100+49-2(10)(7)cos 52

This would give us

=149 -140 x (0.6157)

=62.82

We take the square root of 62.82 =

7.93 or 7.9

We have to use the sine law to find the other side

7.9/sin 52=10.057

10.06=7/sin C

such that

sin C = sin(0.6958)

=44.1°

10.06=10/sin B

cross multiply

sin B=10/10.06

= sin⁻¹0.9940

Then B = 83.7°

Read more on triangles here:

brainly.com/question/2644832

#SPJ1

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