The perimeter of triangle A B C is 17 inches, the length of side A B is 4 inches, and

Question

The perimeter of triangle A B C is 17 inches, the length of side A B is 4 inches, and the length of side A C is 7 inches. What is the length, in inches, of side B C ?

Accepted Answer

Choice B is correct. The perimeter of a triangle is the sum of the lengths of all three sides of the triangle. It&rsquo;s given that the lengths of side A B and side A C are 4 inches and 7 inches, respectively. Let x represent the length, in inches, of side B C . The sum of the lengths, in inches, of all three sides of triangle A B C can be represented by the expression 4 + 7 + x . Since it&rsquo;s given that the perimeter of triangle A B C is 17 inches, it follows that 17 = 4 + 7 + x , or 17 = 11 + x . Subtracting 11 from both sides of this equation yields 6 = x . Therefore, the length, in inches, of side B C is 6 . Choice A is incorrect. This is the length, in inches, of side A B . Choice C is incorrect. This is the length, in inches, of side A C . Choice D is incorrect. This is the sum of the lengths, in inches, of sides A B and A C .

Question c53570