Question

B is between A and C on AC. find AB, BC, and AC.... BC = 3x + 12 , AC=37 , and AB = 7x - 5

Answer 1

Explanation:

B lies between A and C. It means, sum of lengths of AB and BC gives length of AC.

=> AB + BC = AC

Substituting the values of AB, BC and AC given in the question,

=> 7x - 5 + 3x + 12 = 37

Compute like terms,

=> 10x + 7 = 37

Subtracting 7 from both sides for isolating the term containing x,

=> 10x = 30

Dividing 10 both sides,

=> x = 30/10 = 3

`\therefore` The required values of AB, BC and AC are:

• AB = 7(3) - 5 = 16
• BC = 3(3) + 12 = 21
• AC = 37