## UmmmHELP 2 years ago The Pythagorean triple 5, 12, 13 represents the lengths of the sides of a right triangle. Find the length of the altitude to the hypotenuse.

1. UmmmHELP

A. 60/13 B. 65/12 C. 156/4 D. not enough information

2. ganeshie8

|dw:1363902877888:dw|

3. ganeshie8

you familiar with similar triangles ?

4. UmmmHELP

ehhh

5. UmmmHELP

im not to good with this section...

6. ganeshie8

good, we can use that... do u see any two useful triangles we can use ?

7. UmmmHELP

ugh well I know its split up into two but...

8. ganeshie8

\(\triangle CBA \sim \triangle CDB\) lets setup a proportion :- BD/BA = BC/AC h/5 = 12/13 h = ?

9. UmmmHELP

i got 4.6?

10. ganeshie8

thats looks right !

11. UmmmHELP

okay! now what?

12. ganeshie8

thats it, we are done. thats your length of altitude to hypotenuse !

13. UmmmHELP

okay but what do I match it with? like to get one of the options for an answer?

14. ganeshie8

ha here is lil more complete solution, see if u get it. BD/BA = BC/AC h/5 = 12/13 h = 5*12/13 h = ?

15. UmmmHELP

yeah no haha ughh

16. ganeshie8

BD/BA = BC/AC h/5 = 12/13 h = 5*12/13 h = 60/13

17. UmmmHELP

Ohh okay

18. UmmmHELP

Thanks @ganeshie8

19. ganeshie8

np.. yw!