Question

B is the midpoint of AC. Find AB, BC, and AC

Answer 1

B is mid point of AC

that means,

`(3x + 5x - 6 )/(2) = b \\ \: \: \: \: \: \: \: \: \: \: \: (8x - 6)/(2)= b \\ (2(4x - 3))/(2) = b \\ b = 4x - 3`

`3x = 5x - 6 \\ 2x = - 6 \\ x = - 3`

`ab = 3x = 3 * - 3 = - 9 \\ ab = - 9`

`bc = 5x - 6 = 5 * - 3 (- 6) \\ \: \: \: \: \: = - 15 - 6 = - 21`

`ac = 8x - 6 = 8 * - 3( - 6) = - 24 - 6 = - 30`

`hope \: it \: helped`

Answer 2

9, 9, 18

Explanation:

• 3x=5x-6
• 5x-3x=6
• 2x=6
• x=3

AB=3x=9

BC=AB=9

AC=2AB=18