Let x = the length of LO.
Using the Triangle Theorem, we can say that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
ML + LP > LO
6x + (3x + 12) > 2x
9x + 12 > 2x
7x > 12
x > 12/7
Therefore, x > 1.714.
PO = ML - LO
PO = 6x - 2x
PO = 4x
Therefore, PO = 4(1.714) = 6.856.
LO bisects <MLP. Find x, then find PO
M
L
P
O
6x
3x+12
this is triangle theorem problem
please show full work.
1 answer