Answer:
[tex]LO = OT = 8cm[/tex]
Step-by-step explanation:
Given
LT = 16cm
Required
Determine LO and OT
First, we have:
[tex]LO + OT = LT[/tex]
From the question, we understand that O is the middle of LT
This implies that LO = OT
Substitute OT for LO in the above formula
[tex]OT + OT = LT[/tex]
[tex]2OT = LT[/tex]
Divide both sides by 2
[tex]OT = \frac{1}{2}LT[/tex]
Substitute 16cm for LT
[tex]OT = \frac{1}{2} * 16cm[/tex]
[tex]OT = 8cm[/tex]
Recall that LO = OT
So;
[tex]LO = OT = 8cm[/tex]
