Question

Use the info given to solve the triangle round to nearest 10th

Answer 1

Triangle:

Procedure:

The interior angles of a triangle add up to 180°. As we know two angles, we can get the third as follows:

$m\angle L+m\angle K+m\angle J=180$

Isolating for m∠J

$m\angle J=180-m\angle L-m\angle K$

Replacing the values given:

$m\angle J=180-41-117$$m\angle J=22$

Then using the trigonometric functions, we can get the sides.

$\frac{\sin (41)}{14}=\frac{\sin (117)}{JL}$$JL=\frac{\sin(117)}{\frac{\sin(41)}{14}}$$JL\approx19.01$$\frac{\sin(41)}{14}=\frac{\sin (22)}{KL}$$KL=\frac{\sin (22)}{\frac{\sin(41)}{14}}$$KL\approx7.99$

Answer:

• m∠J, = 22°

,

• JL = 19.01

,

• KL = 7.99