Sections:

Area and Length, Page 5

Examples

When deciding which equation to use, look at the information you are given and decide which formula will work best.
Pencil, paper, eraser, and a calculator
Let’s go through some examples.

Example 1:

Find the area of triangle ABC, given: a = 5.1, c = 13.2, and B = 49°.

First, draw a diagram with the information that you have been given.

Diagram of triangle ABC

Given the information in this problem, use the equation: K = 1/2 ac sinB.

K = 1/2 (5.1)(13.2) sin49; K = 25.4 square units

Example 2:

Find the area of triangle ABC, given: A = 16°, C = 35°, and c = 15.2.

First, draw a diagram with the information that you have been given.

Diagram of triangle ABC

Find the missing angle, Angle B:

B = 180 - (16 + 35); B = 129 degrees

Now you can find the area of the triangle.

K = 1/2 c^2 (sinA sinB/sinC);                                                     K = 1/2 (15.2)^2 (sin16 sin129/sin35); K = 43.1