Answer:
B) 8
Step-by-step explanation:
The Segment Addition Postulate basically states that the sum of the segments of a line will equal the length of the entire line.
Thus, AB+BC=AC, and we can substitute:
AB+BC=AC
(4x+8)+(3x-4)=32
4x+8+3x-4=32
7x+4=32
7x=28
x=4
Now that we have x, we can plug it in for segment BC:
BC=3x-4
3(4)-4
12-4
8
Therefore, choice B is correct
BC = 8
AB + BC = AC
4x + 8 + 3x - 4 = 32
7x + 4 = 32
7x = 32 - 4
7x = 28
x = 28/7
x = 4
BC = 3x - 4 = 3*4 - 4 = 12 - 4 = 8
Just plug in 20 for t:
incenter
The point of intersection of the three angle bisectors of a triangle is the incenter.
