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Lesson: Finding the Area of a Triangle Using Sine

Learn how to find the area of a triangle without having to first calculate its perpendicular height. This lesson introduces a formula for the area of a triangle in terms of the lengths of two sides and the measure of the included angle.

Worksheet: Finding the Area of a Triangle Using Sine • 10 Questions

Q1:

Which of the following is a formula that can be used to find the area of a triangle?

Q2:

In the given figure, work out the area of the triangle to 2 decimal places.

Q3:

Wayne’s house is on a corner lot. Find the area of the front yard given that the edges measure 40 ft and 56 ft, as shown in the diagram.

Q4:

is a triangle, where , , and . Find the area of , giving your answer to three decimal places.

Q5:

is a triangle, where , , and . Find the area of , giving your answer to three decimal places.

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