anonymous
  • anonymous
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.
Mathematics
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
A. 60/13 B. 65/12 C. 156/4 D. not enough information
ganeshie8
  • ganeshie8
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ganeshie8
  • ganeshie8
you familiar with similar triangles ?

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anonymous
  • anonymous
ehhh
anonymous
  • anonymous
im not to good with this section...
ganeshie8
  • ganeshie8
good, we can use that... do u see any two useful triangles we can use ?
anonymous
  • anonymous
ugh well I know its split up into two but...
ganeshie8
  • ganeshie8
\(\triangle CBA \sim \triangle CDB\) lets setup a proportion :- BD/BA = BC/AC h/5 = 12/13 h = ?
anonymous
  • anonymous
i got 4.6?
ganeshie8
  • ganeshie8
thats looks right !
anonymous
  • anonymous
okay! now what?
ganeshie8
  • ganeshie8
thats it, we are done. thats your length of altitude to hypotenuse !
anonymous
  • anonymous
okay but what do I match it with? like to get one of the options for an answer?
ganeshie8
  • 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 = ?
anonymous
  • anonymous
yeah no haha ughh
ganeshie8
  • ganeshie8
BD/BA = BC/AC h/5 = 12/13 h = 5*12/13 h = 60/13
anonymous
  • anonymous
Ohh okay
anonymous
  • anonymous
Thanks @ganeshie8
ganeshie8
  • ganeshie8
np.. yw!

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