Explain how you would find the hypotenuse of a right triangle if you know the adjacent side and an angle.

Use the cosine function: cos(angle) = adjacent / hypotenuse. Rearrange to solve for the hypotenuse: hypotenuse = adjacent / cos(angle).

How can you find the measure of an acute angle in a right triangle if you know the lengths of two of its sides?

Use inverse trigonometric functions (arcsin, arccos, arctan) to find the angle based on the ratios of the sides.

Name: Solving Right Triangles
Author: Insta~Lesson

11th Grade · Math · 56 min

I can apply trigonometric ratios to solve problems involving right triangles.

1
When solving a right triangle, you must find the missing side lengths and angle measures.
2
The tangent of an angle is equal to the length of the opposite side divided by the length of the adjacent side.
3
The sum of the angles of a triangle add up to 180 degrees, so in a right triangle, the two non-right angles must add up to 90 degrees.

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