Solving Right Triangles with Trig Ratios
Learning Objective
I can solve the unknown side of right angles triangles using trigonometric ratios
Key Concepts
Solving a right triangle means stating the measures of the three angles and the lengths of the three sides.
If angle A is 40° and angle C is 90°, then angle B must be 50 degrees because angles A and B must add up to 90°.
To solve for an unknown side, you can set up an equation using sine, cosine, or tangent, but you must know at least one side of the right triangle.
Practice Questions
This lesson includes 5 practice questions to reinforce learning.
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1. In a right triangle ABC, where angle C is 90 degrees and angle A is 60 degrees, what is the measure of angle B?
2. In right triangle XYZ, where angle Z is the right angle, side x (opposite angle X) is 5 units, and angle X is 35 degrees, which trigonometric ratio would you use to find the length of side z (the hypotenuse)?
3. In a right triangle, if you know the lengths of all three sides, explain how you can verify your calculated angles (other than the right angle) using trigonometric ratios.
...and 2 more questions
Educational Video
Solve Right Triangles 1
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