UmmmHELP
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.



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

ganeshie8
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dw:1363902877888:dw

ganeshie8
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you familiar with similar triangles ?

UmmmHELP
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ehhh

UmmmHELP
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im not to good with this section...

ganeshie8
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good, we can use that... do u see any two useful triangles we can use ?

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

ganeshie8
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\(\triangle CBA \sim \triangle CDB\)
lets setup a proportion :
BD/BA = BC/AC
h/5 = 12/13
h = ?

UmmmHELP
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i got 4.6?

ganeshie8
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thats looks right !

UmmmHELP
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okay! now what?

ganeshie8
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thats it, we are done. thats your length of altitude to hypotenuse !

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

ganeshie8
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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 = ?

UmmmHELP
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yeah no haha ughh

ganeshie8
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BD/BA = BC/AC
h/5 = 12/13
h = 5*12/13
h = 60/13

UmmmHELP
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Ohh okay

UmmmHELP
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Thanks @ganeshie8

ganeshie8
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np.. yw!