In the right triangle shown, one leg is 30, and the hypotenuse is 50. This is
10 times 3-4-5. The other leg is 40.
86 . The 5-12-13 Triangle
If a right triangle’s leg-to-leg ratio is 5:12, or if the leg-to-hypotenuse ratio is
5:13 or 12:13, then it’s a 5-12-13 triangle, and you don’t need to use the
Pythagorean theorem to find the third side. Just figure out what multiple of
5-12-13 it is.
Here one leg is 36, and the hypotenuse is 39. This is 3 times 5-12-13. The
other leg is 15.
87 . The 30-60-90 Triangle
The sides of a 30-60-90 triangle are in a ratio of You don’t
need the Pythagorean theorem.