For problems 1-4, solve each triangle using either the Law of Sines or the Law of Cosines. If no triangle exists, write “no solution.” Round your answers to the nearest tenth.

a = 12, b = 14, c = 21
A = 51°, b = 41, c = 40
A = 23°, B = 55°, b = 9
A = 18°, a = 25, b = 18
Jane is taking a ride around the lake. The route is shown below:

Triangular diagram of Jane's ride

What is the distance from the Beach to the Waterfront Restaurant?

Question

For problems 1-4, solve each triangle using either the Law of Sines or the Law of Cosines. If no triangle exists, write “no solution.” Round your answers to the nearest tenth.

    a = 12, b = 14, c = 21
    A = 51°, b = 41, c = 40
    A = 23°, B = 55°, b = 9
    A = 18°, a = 25, b = 18
    Jane is taking a ride around the lake. The route is shown below: 

    Triangular diagram of Jane's ride

    What is the distance from the Beach to the Waterfront Restaurant?