The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments with lengths in the ratio 1:2. the length of the altitude is 8. how long is the hypotenuse

Accepted Solution

1. By the Altitud Rule, you have:

 Segment1/Altitud=Segment 2/Altitud

 2. The ratio is 1:2, then:




 3. When you apply the Altitud Rule, you obtain:

 Segment1/Altitud=Segment 2/Altitud

 4. When you clear the "x", you have:


 5. Then:


 6. Therefore, the lenght of the hypotenuse is: