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slava [35]
2 years ago
14

How many solutions does a triangle with values a=42, A=117 degrees, and b=34 have?

Mathematics
1 answer:
tatyana61 [14]2 years ago
8 0

Answer:one solution

Step-by-step explanation:

Given

a=42

b=34

angle A=117

using sine rule

\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}

\frac{42}{sin117}=\frac{34}{sinB}

sinB=\frac{34}{42}\times sin(117)

sinB=0.7212

B=46.161 ^{\circ}

and A+B+C=180

C=16.839^{\circ}

Thus 2 triangles can be formed with given value

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