Measure of triangle

Question

Triangle not to scale. Angle a=50, side a=105 and side b is 45

length of angle b and c and side length of c

b=45b45

Answer 1

Step 1:

Length of angle and sides are and .

Sine rule is .

Substitute , and in the sine rule.

.

Find the length of angle .

Consider .

Length of angle is .

Find the length of angle .

angle is .

Substitute and in above formula.

Length of angle is .

Substitute and in the sine rule.

Step 2:

Find length of .

Consider .

Side length of is

Solution :

Length of angles are and .

Side length of