Given : AB = 8 , AC = 12 , Prove: BC = 4. Give me the statement and reasons.

Question

Geometric Proofs

Answer 1

Given that points A, B and C lie on a straight line and point B lies between A and C.

Draw a picture of the line and the order of the points A, B, C on it.

 

Then AC = AB + BC and from simple algebra, BC = AC - AB

 

Substituting the values of AB and AC in the above equation, BC = 12 - 8 = 4