How to Solve a Right Triangle Given Two Sides

Learn how to solve right triangles using the Pythagorean theorem and trigonometric functions.

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To solve a right triangle with two sides, use the Pythagorean theorem. If given legs a and b, calculate the hypotenuse with c = √(a² + b²). For one leg a and hypotenuse c, find the other leg with b = √(c² - a²). Simple trigonometry can also help find angles using sin, cos, or tan functions.

FAQs & Answers

  1. What is the Pythagorean theorem? The Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
  2. How do you find angles in a right triangle? You can find angles in a right triangle using sine, cosine, or tangent functions based on the lengths of the sides.
  3. What if I only know the hypotenuse? If you only know the hypotenuse and one leg, you can use the Pythagorean theorem to find the other leg.
  4. Can I solve a right triangle with only one side? No, you need at least two sides to fully solve a right triangle.

Watch More

For more insights into geometry and trigonometry, check our videos on solving triangles and understanding sine, cosine, and tangent functions.

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