# A triangle has corners at points A, B, and C. Side AB has a length of #27 #. The distance between the intersection of point A's angle bisector with side BC and point B is #18 #. If side AC has a length of #18 #, what is the length of side BC?

Length of BC = 45

Let the point where the angle bisector intersects with side BC be D

By signing up, you agree to our Terms of Service and Privacy Policy

Using the angle bisector theorem and the given information:

[ \frac{AC}{AB} = \frac{BC}{AB} = \frac{AC + AB}{AB} = \frac{18 + 27}{27} = \frac{45}{27} = \frac{5}{3} ]

So, ( BC = \frac{5}{3} \times AB = \frac{5}{3} \times 27 = 45 ). Therefore, the length of side BC is 45.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- Triangle A has an area of #25 # and two sides of lengths #9 # and #6 #. Triangle B is similar to triangle A and has a side of length #8 #. What are the maximum and minimum possible areas of triangle B?
- In the figure given identify the congruent and/or similar triangles and find the value of x and y?
- A triangle has corners at points A, B, and C. Side AB has a length of #7 #. The distance between the intersection of point A's angle bisector with side BC and point B is #4 #. If side AC has a length of #14 #, what is the length of side BC?
- A triangle has corners at points A, B, and C. Side AB has a length of #38 #. The distance between the intersection of point A's angle bisector with side BC and point B is #8 #. If side AC has a length of #46 #, what is the length of side BC?
- Triangle A has sides of lengths #48 ,36 #, and #54 #. Triangle B is similar to triangle A and has a side of length #5 #. What are the possible lengths of the other two sides of triangle B?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7