Wize High School Geometry Textbook (Common Core) > Trigonometry of Right Triangles
Solving Right Triangles
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Solving a Right Triangle
If we are asked to solve a right triangle, we need to find all missing angles and side lengths.
Finding a side length
- If you know 2 of the side lengths ➡ use Pythagorean's Theorem to find the remaining third side
- If you know 1 of the side lengths and 1 of the angles ➡ use SOH CAH TOA to find the remaining sides
Finding an angle
- If you know the measurement of 1 of the non-right angles ➡ use the fact that the interior angles add up to
- If you know the measurement of 2 of the side lengths ➡ use SOH CAH TOA and , and to find the angle
Practice: Solving a Right Triangle
Solve the triangle .

Practice: Solving a Right Triangle
has a right angle at . and . Solve the triangle.