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HII. Solve the unknown parts of the given triangle below. Write your answer on a
separate sheet of paper.
2.
17cm
1.
20in
389
259
a
1270
s
b
1089
b
a
x
3.
a
х
23°
b
30 cm
34​

HII Solve The Unknown Parts Of The Given Triangle Below Write Your Answer On Aseparate Sheet Of Paper217cm120in389259a1270sb1089bax3aх23b30 Cm34 class=

Sagot :

TheoDidn

Answer:

1. a = 34.02 and b = 10.00

2. a = 10.00 and b = 11.00

3. a = 20.00 and b = 13.98

Step-by-step explanation:

The Law of Sines is used to solve ambiguous cases which explore the case given side-side-angle informed in a triangle. Law of Sines is a relationship between in a side of a triangle and sine is the angle is opposite side.

Using the formula of Law of Sines :

  • a/Sin(A) = b/Sin(B) = c/Sin(C)

1. Given : x = 180° - 127° - 25° = 28°

Solution :

  • 20/Sin(28°) = a/Sin(127°) = b/Sin(25°)

Find a :

  • a = 20Sin(127°)/Sin(28°)
  • a = 15.97/0.469
  • a = 34.02

Find b :

  • b = 20Sin(25°)/Sin(28°)
  • b = 8.452/0.469
  • b = 10.00

2. Given : x = 180° - 108° - 38° = 34°

Solution :

  • a/Sin(34°) = 17/Sin(108°) = b/Sin(38°)

Find a :

  • a = 17Sin(34°)/Sin(108°)
  • a = 9.506/0.951
  • a = 10.00

Find b :

  • b = 17Sin(38°)/Sin(108°)
  • b = 10.46/0.951
  • b = 11.00

3. Given : x = 180° - 23° - 34° = 123°

Solution :

  • 30/Sin(123°) = a/Sin(34°) = b/Sin(23°)

Find a :

  • a = 30Sin(34°)/Sin(123°)
  • a = 16.77/0.838
  • a = 20.00

Find b :

  • b = 30Sin(23°)/Sin(123°)
  • b = 11.72/0.838
  • b = 13.98
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