## Pac1f1cIslander 3 years ago When an altitude is drawn to the hypotenuse of a right triangle, the lengths of the segments of the hypotenuse are 16 and 25. What is the length of the altitude?

1. Pac1f1cIslander

It's 20 right?

2. theyatin

nope

3. Pac1f1cIslander

4. theyatin

just apply Pythagorean theoram

5. Pac1f1cIslander

I get 29.7

6. Pac1f1cIslander

...and it isn't an option...

7. Pac1f1cIslander

@Hero

8. Pac1f1cIslander

I just need help with the concept so I can do the 24 other questions on my own...

9. ujjwal

Do you have a diagram?

10. Pac1f1cIslander

No, there isn't one provided...the options are 20 25 41 50

11. ujjwal

|dw:1341768017319:dw|Should it be like this?

12. theyatin

now the possible answer is 20

13. Pac1f1cIslander

I guess @ujjwal

14. theyatin

beacause the altitude can't be more than length of hypotnese

15. rix

The correct answer is 20. In a rectangular triangle, when the hypotenuse is devided by the altitude x into two pieces I will call p and q, the following applies: \[h ^{2} = p q\] In German it is called altitude law of Euklid.

16. Pac1f1cIslander

So 41 divided is 20? What? :O

17. rix

No, it is meant like this: |dw:1341768231089:dw| No, but the square root of (16 times 25) is 20. AFAIK.

18. Pac1f1cIslander

So whenever I come across a probllem like this I just multiply the two hypotenuses and square the solution to get my answer?

19. rix

no, you multiply the two parts of the one hypothenusis and then take the sqare root of it.

20. Pac1f1cIslander

Okay, thanks! :)I understand now :)

21. rix

Great! Happy to help.