Answer:
LB = 12ft
Step-by-step explanation:
m< CAB = 60 because of the triangle sum theorem
We can use triangle sum theorem to find the measure of all the angles in triangle CLA.
m< CAL = 60/2 = 30, because AL is a angle bisector
The m<CLA = 60 because of the triangle sun theorem
Then we can use properties of a 30 - 60 - 90 triangle.
LA = 12
Then, we also know that m< ALC = 30 because that is what is reamining of that angle.
So, we can see that triangle ALB is a isosceles triangle.
Then LA would equal LB by the definition of a Isosceles triangle, so LB would be 12 as well.
