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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.

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Tutorials--Right Triangles

  • 2. 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.
  • 3. Example 1. Given the legs of a right triangle, calculate the value of the hypotenuse.
  • 4. Example 2. Given the legs of a right triangle, calculate the value of the hypotenuse for a 3-4-5 right triangle.
  • 5. 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.
  • 6. 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.
  • 7. Example 5. Given the legs of a right triangle, calculate the value of the hypotenuse for a 5-12-13 right triangle.
  • 8. 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.
  • 9. 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.
  • 10. Example 8. Given the legs of a right triangle, calculate the value of the hypotenuse for an isosceles right triangle.
  • 11. 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.
  • 12. 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.
  • 13. Example 11. Given the legs of a right triangle, calculate the value of the hypotenuse for a 30°-60°-90° triangle.
  • 14. 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.
  • 15. 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.
  • 16. Example 14. Given one leg and the hypotenuse of a right triangle, calculate the value of the other leg.
  • 17. 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.
  • 18. 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.
  • 19. 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.
  • 20. 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.
  • 21. 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.
  • 22. 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.
  • 23. Example 21. Given one leg and the hypotenuse of a right triangle, calculate the value of the other leg for an isosceles right triangle.
  • 24. 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.
  • 25. 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.
  • 26. 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.
  • 27. 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.
  • 28. 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.