To solve this question we will make use of the "Triangle Angle Bisector Theorem", which states that, "An angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle."

Thus, in our question, we will have:

$\frac{LB}{CL}= \frac{AB}{AC}$

The above equation can be rearranged as:

$LB=CL\times \frac{AB}{AC}=\frac{CL}{(\frac{AC}{AB})}$ ...(Equation 1)

If we have a proper look at the denominator which is $\frac{AC}{AB}$ , we note that in $\Delta ABC$ , $\frac{AC}{AB}=Sin(\angle ABC)=Sin(30^\circ)$

Thus, (Equation 1) wil give us:

$LB=\frac{CL}{Sin(30^\circ)} =\frac{6}{0.5}=12$

<u>Therefore, LB= 12 feet</u>

3 0

3 years ago

Factor the polynomial completely using the

ElenaW [278]

Answer:

(-6-2√3,0)(-6+2√3,0)

if im not mistaken

4 0

3 years ago

Read 2 more answers

AC is diagonal of square ABCD, and the length of AC is 4. What is the area of the square?

dybincka [34]

Option d.
as we know the corner of a square is always 90°. So we can apply that (side of the square)^2+(side of the square)^2 = (diagonal of the side)^2

(side of the square)^2+(side of the square)^2 = 16
16/2=8
8=(side of the square)^2
side of square= squareroot of 8
area of square= squareroot of 8^2=8
hence answer is 8

8 0

3 years ago