A triangle has legs 5 and 12. Find the distance of the altitude to the hypotenuse.
Seriously doubt that the distance to the 'hypothesis' is 14 .....longer than either of the legs...longer than the hypotenuse (13) .....
There are ONLY 4 hypotenuses possible:13, 14, 15 and 16
The altitudes to the hypotenuse are as follows respectively: 4.615, 4.176, 3.538 and 2.583
Nope, there's only one hypotenuse for this right triangle, and its length is 13.
Altitude L = (5 * 12 )/13
Dragan: Why are you CERTAIN that it is a "right triangle"? The question doesn't say so. Isn't it possible to have triangles with: 14, 12, 5 or 15, 12, 5 or 16, 12, 5 side lengths?
When you speak of 'hypotenuse' and 'legs' you are describing a right triangle .....