# geometry

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In a triangle MNO with altitude NP with MP of 15 and NP of 9 what is the length of PO? MNO creates a right angle!

• geometry -

M 15
z P
9 x
N y O

• geometry -

I sketched your triangle and concluded that the right angle must be at N
It is easy to show that
triangle MPN ≈ triangle NPO
then MP/PN = PN/PO
15/9 = 9/PO
15PO = 81
PO = 81/15 = 27/5

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