Question

The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments whose lengths are in the ratio of 1:4. The length of the altitude is 12. How long is the hypotenuse?

Answer 1

i got a stank a88 walk

Explanation:

Answer 2

9514 1404 393

Answer:

30

Explanation:

The altitude is the geometric mean of the two segments of the hypotenuse. For some scale factor x, the segments are 1x and 4x, and the altitude is ...

12 = √((1x)(4x)) = 2x

6 = x

So, the length of the hypotenuse is ...

(1x) +(4x) = 5x = 5·6 = 30

The hypotenuse is 30 units long.