Right Triangles

Overview This set of tutorials provides 26 examples of how to find the length of a side of a triangle using given angle or side measurements.

Example 1. Given the legs of a right triangle, calculate the value of the hypotenuse.

Example 2. Given the legs of a right triangle, calculate the value of the hypotenuse for a 3-4-5 right triangle.

Example 3. Given the legs of a right triangle, calculate the value of the hypotenuse for a multiple of a 3-4-5 right triangle.

Example 4. Given the legs of a right triangle, calculate the value of the hypotenuse for a multiple of a 3-4-5 right triangle. Side lengths expressed as variables.

Example 5. Given the legs of a right triangle, calculate the value of the hypotenuse for a 5-12-13 right triangle.

Example 6. Given the legs of a right triangle, calculate the value of the hypotenuse for a multiple of a 5-12-13 right triangle.

Example 7. Given the legs of a right triangle, calculate the value of the hypotenuse for a multiple of a 5-12-13 right triangle. Side lengths expressed as variables.

Example 8. Given the legs of a right triangle, calculate the value of the hypotenuse for an isosceles right triangle.

Example 9. Given the legs of a right triangle, calculate the value of the hypotenuse for an isosceles right triangle. Side lengths are proportional to the 1-1-sqrt(2) triangle.

Example 10. Given the legs of a right triangle, calculate the value of the hypotenuse for an isosceles right triangle. Side lengths are expressed as variables.

Example 11. Given the legs of a right triangle, calculate the value of the hypotenuse for a 30°-60°-90° triangle.

Example 12. Given the legs of a right triangle, calculate the value of the hypotenuse for a 30°-60°-90° triangle. Side lengths are proportional to the 1-sqrt(3)-2 triangle.

Example 13. Given the legs of a right triangle, calculate the value of the hypotenuse for a 30°-60°-90° triangle. Side lengths are variables.

Example 14. Given one leg and the hypotenuse of a right triangle, calculate the value of the other leg.

Example 15. Given one leg and the hypotenuse of a right triangle, calculate the value of the other leg for a 3-4-5 right triangle.

Example 16. Given one leg and the hypotenuse of a right triangle, calculate the value of the other leg for a multiple of a 3-4-5 right triangle.

Example 17. Given one leg and the hypotenuse of a right triangle, calculate the value of the other leg for a multiple of a 3-4-5 right triangle. Side lengths expressed as variables.

Example 18. Given one leg and the hypotenuse of a right triangle, calculate the value of the other leg for a 5-12-13 right triangle.

Example 19. Given one leg and the hypotenuse of a right triangle, calculate the value of the other leg for a multiple of a 5-12-13 right triangle.

Example 20. Given one leg and the hypotenuse of a right triangle, calculate the value of the other leg for a multiple of a 5-12-13 right triangle. Side lengths expressed as variables.

Example 21. Given one leg and the hypotenuse of a right triangle, calculate the value of the other leg for an isosceles right triangle.

Example 22. Given one leg and the hypotenuse of a right triangle, calculate the value of the other leg for an isosceles right triangle. Side lengths are proportional to the 1-1-sqrt(2) triangle.

Example 23. Given one leg and the hypotenuse of a right triangle, calculate the value of the other leg for an isosceles right triangle. Side lengths are expressed as variables.

Example 24. Given one leg and the hypotenuse of a right triangle, calculate the value of the other leg for a 30°-60°-90° triangle.

Example 25. Given one leg and the hypotenuse of a right triangle, calculate the value of the other leg for a 30°-60°-90° triangle. Side lengths are proportional to the 1-sqrt(3)-2 triangle.

Example 26. Given one leg and the hypotenuse of a right triangle, calculate the value of the other leg for a 30°-60°-90° triangle. Side lengths are variables.