Area of Triangle (Sine) Worksheets

There are six sets of area worksheets:
Area of Rectangles
Area of Rectangles Word Problems
Area of Parallelogram
Area of Triangle
Area of Polygon by Decomposition
Area of Triangle using Sine

Examples, solutions, videos, and worksheets to help grade 7 students learn how to find the area of a triangle using sine formula.

How to calculate the Area of Triangle using the sine formula?

You can find the area of a triangle using the sine of one of its angles and the lengths of the two sides adjacent to that angle. The formula for finding the area of a triangle using the sine of an angle is:

A = (1/2) × a × b × sin(C)

Where:

• A is the area of the triangle.
• a and b are the lengths of two sides of the triangle that are adjacent to the angle C.
• C is the measure of the angle between sides a and b.

Here’s a step-by-step guide to using this formula:

Measure the lengths of the two sides, a and b, that are adjacent to the angle for which you want to find the area. Also, measure the value of that angle, C, in degrees.

Convert the angle from degrees to radians if it’s given in degrees. Most calculators and trigonometric functions work with radians. The formula works with angles in radians.

Use the formula A = (1/2) * a * b * sin(C) to calculate the area of the triangle.

For example, if you have a triangle with sides a = 6 units and b = 8 units and the angle C between these sides is 30 degrees, you can calculate the area as follows:

Use the formula A = (1/2) * 6 * 8 * sin(30):
A = 12 square units.

So, the area of the triangle is 12 square units.

Have a look at this video if you need to review how to find the area of a triangles using sine.

• Area of Triangles using Sine

Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Area of Triangle (Sine) Worksheets.

 

More Area of Triangle (Sine) Worksheets

Printable
(Answers on the second page.)
Area of Triangle (Sine) Worksheet #1
Area of Triangle (Sine) Worksheet #2

Online
Area of Triangle
Area of Triangle & Parallelogram

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Area of Triangle using Sine

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