The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments with lengths in the ration 1: 2. The length of the altitude is 8. How long is the hypotenuse?
1. 16
2. 24
3. 4_/2
4. 12_/2
Looks like this is a bit too hard for the bot to handle, so ....
let the two segments of the hypotenuse be x and 2x.
By a very well-known property of right-angled triangles,
x(2x) = 8^2
2x^2 = 64
x^2 = 32
x = √32 = 4√2