Question

If AC = 14, find the value of x. Then find AB and BC.

Answer 1

Your question is incomplete; However, a similar question is:

If B is between A and C, AB = x, BC = 2x + 2, and AC = 14, find the value of x. Then find AB and BC.

This should serve as a guide

Answer:

See Explanation

Step-by-step explanation:

Given

$AB = x$

$BC = 2x + 2$

$AC =14$

Required

Determine x, AB and BC.

Since B is between A and C;

$AB + BC = AC$

Substitute x for AB; 2x + 2 for BC and 14 for AC

$x + 2x + 2 = 14$

$3x + 2 = 14$

Collect Like Terms

$3x = 14 - 2$

$3x = 12$'

$x = \frac{12}{3}$

$x = 4$

Substitute 4 for x in

$AB = x$

$BC = 2x + 2$

$AB = 4$

$BC = 2(4) + 2$

$BC = 8 + 2$

$BC = 10$