Q:

Please help with this math problem!!! 25 pointsWhat is value of x? Enter your answer in the box. x =A triangle with vertices labeled as A, B, and C. Side B C is the base. A line segment is drawn from vertex A to base B C that bisects angle B A C into two parts marked with single arcs. Side A B is labeled as 8. Side A C is labeled as 12. Side B C is divided into two equal parts labeled as x plus 4 and 2 x plus 1.here is the picture of the problem

Accepted Solution

A:
By Triangle-Angle-Bisector Theorem,Β 
8:12=(x+4):(2x+1)

(x+4):(2x+1)=2:3
3(x+4)=2(2x+1)
3x+12=4x+2
x=10