LO−→ bisects <NLM, LM = 12, NO = 3 and LN = 8. What is the value of x?
To find the value of x, we can use the Angle Bisector Theorem. According to the theorem, the ratio of the lengths of the segments formed by an angle bisector is equal to the ratio of the lengths of the opposite sides.
In this case, we can set up the following proportion:
LN / NO = LM / MO
Substituting the given values:
8 / 3 = 12 / MO
Cross multiplying:
8MO = 3 * 12
8MO = 36
Dividing both sides by 8:
MO = 4.5
Since LO−→ bisects triangle NLM, the value of x is half of MO:
x = 4.5 / 2 = 2.25
Therefore, the value of x is 2.25.