A triangle has legs 5 and 12. Find the distance of the altitude to the hypotenuse.

Guest May 17, 2020

#1

#2**+1 **

Seriously doubt that the distance to the 'hypothesis' is 14 .....longer than either of the legs...longer than the hypotenuse (13) .....

ElectricPavlov
May 18, 2020

#4**+1 **

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

Guest May 18, 2020

#5**+2 **

Nope, there's only one hypotenuse for this right triangle, and its length is 13.

Altitude L = (5 * 12 )/13

Dragan
May 18, 2020

edited by
Guest
May 18, 2020

#6**+1 **

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?

Guest May 18, 2020

#7**+2 **

When you speak of 'hypotenuse' and 'legs' you are describing a right triangle .....

ElectricPavlov
May 18, 2020