Question

Solve triangle ABC which has
angleA=250.251,angleB=600.511anda=3.82.F indc.
3-6cm
7.0cm
7.4cm
8.8cm

Answer 1

Answer on Question #60563 – Math – Trigonometry

Question

Solve triangle ABC which has

angle A=250.251, angle B=600.511 and a=3.82. Find c.

3-6cm

7.0cm

7.4cm

8.8cm

Solution

Angles A=250.251 and B=600.511 are incorrect.

The sum of interior angles of triangle is equal to $180{}^{\circ}$:

$$A + B + C = 180{}^{\circ},$$

hence

$$C = 180{}^{\circ} - A - B.$$

We can find $c$ by means of the law of the sines:

$$\frac{\sin(A)}{a} = \frac{\sin(C)}{c},$$

hence

$$c = a \frac{\sin(C)}{\sin(A)} = 3.82 \frac{\sin(180{}^{\circ} - A - B)}{\sin(A)}.$$

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