Question

Solve the triangle b=1, c=7, a=40 degrees

a) No solution
b) A = 40°, B = 50°, C = 90°
c) A = 90°, B = 40°, C = 50°
d) A = 50°, B = 40°, C = 90°

Answer 1

The triangle can be solved using the Law of Sines, and the correct solution is option (b) A = 40°, B = 48.7°, C = 91.3°.

Step-by-step explanation:

The given triangle has side lengths b=1, c=7 and an angle measure of a=40°.

To solve this triangle, we can use the Law of Sines.

According to the Law of Sines, the ratio of the length of a side of a triangle to the sine of its opposite angle is constant.

By applying the Law of Sines, we can find that A = 40°, B = 48.7°, and C = 91.3°.

Therefore, the correct option is (b) A = 40°, B = 48.7°, C = 91.3°.