A right triangle has a hypotenuse with a length of 15 units and one leg with a length of 12 units what is the length of the other leg? Question A right triangle has a hypotenuse with a length of 15 units and one leg with a length of 12 units what is the length of the other leg? in progress 0 Math Adeline 3 weeks 2021-10-01T21:28:35+00:00 2021-10-01T21:28:35+00:00 2 Answers 0

## Answers ( )

Answer: the answer is 9 unitsStep-by-step explanation:Answer:9 units

Step-by-step explanation:Using Pythagoras’ identity on the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

Let x be the length of the other leg, then

x² + 12² = 15², that is

x² + 144 = 225 ( subtract 144 from both sides )

x² = 81 ( take the square root of both sides )

x = = 9