M 15
z P
9 x
N y O
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!
2 answers
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
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
1 answer