jaidenripoll jaidenripoll
  • 20-05-2019
  • Mathematics
contestada

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

Respuesta :

nuuk nuuk
  • 19-08-2019

Answer:one solution

Step-by-step explanation:

Given

a=42

b=34

angle A=117

using sine rule

[tex]\frac{a}{sinA}=\frac{b}{sinB}=\frac{c}{sinC}[/tex]

[tex]\frac{42}{sin117}=\frac{34}{sinB}[/tex]

[tex]sinB=\frac{34}{42}\times sin(117)[/tex]

sinB=0.7212

[tex]B=46.161 ^{\circ}[/tex]

and A+B+C=180

[tex]C=16.839^{\circ}[/tex]

Thus 2 triangles can be formed with given value

Ver imagen nuuk
Answer Link
Ngoc1ari Ngoc1ari
  • 06-07-2021

Answer:

one solution

Step-by-step explanation:

Answer Link

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