Question

Triangle ABC is shown below. Triangle A B C is shown. The length of side A B is 2 x, the length of side B C is 4 x minus 10, and the length of side A C is 3 x minus 7. Angle A B C and B C A are congruent. What is the length of line segment AC?

Answer 1

The answer is C.) 14

Explanation:

On e d g e n u n i t y

Answer 2

Answer:the length of line segment AC is 14

Explanation:

The diagram is shown in the attached photo

Since Angle A B C and B C A are congruent. It means that they are equal. An isosceles triangle is a triangle that has two equal sides and two equal base angles. Since Angle A B C and B C A are equal, it means that the triangle is an isosceles triangle. It also means that sides AC and AB are equal. The expression becomes

3x - 7 = 2x

3x - 2x = 7

x =7

To determine the length of line segment AC. We will substitute x = 7 into 3x - 7. It becomes

3×7 - 7 = 21 - 7 = 14