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Hotmath Practice Problems

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Title:
Hotmath Algebra 2
Author:
Hotmath Team
 
Free
Chapter:TrigonometrySection:Areas of Triangles
 

Problem: 1

The side lengths and included angle of a triangle are given as:

A = 43 , b = 15, c = 19

Find the area of the triangle.

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


Problem: 3

The side lengths and included angle of a triangle are given as:

B = π/4, a = 13, c = 7

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


Problem: 5

The side lengths and included angle of a triangle are given as:

B = 85 , a = 16, c = 21

Find the area of the triangle.

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


Problem: 7

The side lengths and included angle of a triangle are given as:

C = 120 , a = 4, b = 6

Find the area of the triangle.

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


Problem: 9

Determine the area of the triangle.


Problem: 11

Determine the area of the triangle:

A = 49 , b = 28, and c = 16

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


Problem: 13

Determine the area of the triangle:

a = 27, b = 38, c = 61

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


Problem: 15

Determine the area of ΔABC:

a = 5, b = 1/5, c = 5

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


Problem: 17

Determine the area of the triangle ABC, having the side lengths:

a = 66, b = 54, c = 63

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


Problem: 19

Determine the area of the triangle ABC, having the side lengths.

a = 7, b = 6, c = 7

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


Problem: 21

Find the area of the triangle shown in the figure.


Problem: 23

If a parallelogram has an angle of 70 and sides with lengths 13 and 23, find the area of the parallelogram and also the lengths to the nearest tenth of a degree.


Problem: 25

If area of δABC is 30 square units, B = 60 and c = 8, find the value of a and also the angle measures to the nearest tenth of a degree.


Problem: 1

The side lengths and included angle of a triangle are given as:

A = 43, b = 15, c = 19

Find the area of the triangle.

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


Problem: 3

The side lengths and included angle of a triangle are given as:

B = π/4, a = 13, c = 7

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


Problem: 5

The side lengths and included angle of a triangle are given as:

B = 85, a = 16, c = 21

Find the area of the triangle.

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


Problem: 7

The side lengths and included angle of a triangle are given as:

C = 120, a = 4, b = 6

Find the area of the triangle.

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


Problem: 9

Determine the area of the triangle.


Problem: 11

Determine the area of the triangle:

A = 49, b = 28, and c = 16

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


Problem: 13

Determine the area of the triangle:

a = 27, b = 38, c = 61

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


Problem: 15

Determine the area of ΔABC:

a = 5, b = 1/5, c = 5

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


Problem: 17

Determine the area of the triangle ABC, having the side lengths:

a = 66, b = 54, c = 63

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


Problem: 19

Determine the area of the triangle ABC, having the side lengths.

a = 7, b = 6, c = 7

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


Problem: 21

Find the area of the triangle shown in the figure.


Problem: 23

If a parallelogram has an angle of 70 and sides with lengths 13 and 23, find the area of the parallelogram and also the lengths to the nearest tenth of a degree.


Problem: 25

If area of δABC is 30 square units, B = 60 and c = 8, find the value of a and also the angle measures to the nearest tenth of a degree.