meggie98
meggie98 meggie98
  • 03-02-2020
  • Mathematics
contestada

Solve the given triangle by finding the missing angle and other side lengths.

Solve the given triangle by finding the missing angle and other side lengths class=

Respuesta :

Leora03
Leora03 Leora03
  • 03-02-2020

Answer:

∠ABC= 180° -21° -37° (∠ sum of triangle ABC)

∠ABC= 122°

Using sine rule,

[tex] \frac{AB}{sin21°} = \frac{200}{sin122°} [/tex]

AB= 200(sin21°)/sin 122°

AB= 84.5 units (3 s.f.)

[tex] \frac{BC}{sin37°} = \frac{200}{sin122°} [/tex]

BC= 200(sin37°)/ sin122°

BC= 142 units (3 s.f.)

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