# Hotmath Practice Problems

Title:
Hotmath Algebra 2
Author:
Hotmath Team
Chapter:TrigonometrySection:Solving General Triangles

Problem: 1

Solve the triangle using the given figure.

Problem: 3

Solve the triangle ABC shown in diagram.

Problem: 5

Find the remaining angles and sides in the given triangle to the nearest tenth.

Problem: 7

Solve the triangle:

B = 75, C = 59, a = 5

(Here, a represents the length of the side opposite A, b represents the length of the side opposite B, etc.)

Problem: 9

Solve ΔABC for B = 45, a = 15, b = 31.

(Here,a represents the length of the side opposite A, b represents the length of the side opposite B, etc.)

Problem: 11

Solve the triangle:

C = 4π/5, b = 57, c = 21

(Here, a represents the length of the side opposite A, b represents the length of the side opposite B, etc.)

Problem: 13

Find the solution for the triangles with the given values. Determine two solutions If possible. Give the lengths to three significant digits and the angle measures to the nearest tenth of a degree.

a = 19, B = 30 C = 70

(Here, a represents the length of the side opposite A, b represents the length of the side opposite B, etc.)

Problem: 15

Find if the given triangle can be solved by law of sines and law of cosines. If it can be solved then find the other unknown values of the triangle.

a = 15.2, A = 32 , B = 81.

(Here, a represents the length of the side opposite A, b represents the length of the side opposite B, etc.)

Problem: 17

Find the solution for the triangles with the given values. Determine two solutions If possible. Give the angle measures to the nearest tenth of a degree.

a = 31, b = 27, A = 150

(Here, a represents the length of the side opposite A, b represents the length of the side opposite B, etc.)

Problem: 19

Find if the given triangle can be solved by law of sines and law of cosines. If it can be solved then find the other unknown values of the triangle.

Problem: 21

Find if the given triangle can be solved by law of sines and law of cosines. If it can be solved then find the other unknown values of the triangle.

Problem: 23

Find the remaining angles in the given triangle to the nearest tenth.

Problem: 25

Solve ΔABC, using the law of sines, the law of cosines, or the Pythagorean theorem.

a = 53, b = 59, c = 37

(Here a represents the length of the side opposite A, b represents the length of the side opposite B, etc.)

Problem: 27

Solve ΔABC, using the law of sines, the law of cosines, or the Pythagorean theorem.

C = 90, a = 4, b = 10

(Here a represents the length of the side opposite A, b represents the length of the side opposite B, etc.)