If a right triangle’s leg-to-leg ratio is 3:4, or if the leg-to-hypotenuse ratio is 3:5 or 4:5, it’s a 3-4-5 triangle, and you don’t need to
use the Pythagorean theorem to find the third side. Just figure out what multiple of 3-4-5 it is. In this right triangle, one leg is 30, and
the hypotenuse is 50. This is 10 times 3-4-5. The other leg is 40.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.Exercise
Find the missing side in each of the following triangles:x.