Please help, I am so confused. If anyone understands this please help

Mathematics

1 answer:

zysi [14]3 years ago

5 0

Answer:

12 ft

Step-by-step explanation:

It is sometimes helpful to start from what you are given and see what develops.

Here, angle B is 30°. That means angle CAB is 60° (the acute angles of a right triangle are complements). AL bisects that 60° angle, meaning two things:

ΔALC is a 30°-60°-90° triangle, so you know its side ratios
∠LAB = 30°, so ΔALB is isosceles and AL = LB

The side ratios of a 30°-60°-90° triangle are 1 : √3 : 2, so AL is 2 times the length of CL.

AL = 2 × (6 ft) = 12 ft

We know that AL = LB, so LB = 12 ft.

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