SOLUTION: the perimeter of triangle ABC is 22 inches, and angle A is congruent to angle B. if AB equals 8 inches, determine the length, in inches, of segment AC

Question 798899: the perimeter of triangle ABC is 22 inches, and angle A is congruent to angle B. if AB equals 8 inches, determine the length, in inches, of segment AC
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Here is a sketch. (I drew the triangle a little shorter than it should be, just to illustrate a point).
It is an isosceles triangle.
The fact that angles A and B have the same measure means that the sides opposite those angles (side AC and side AB) have the same measure.
(In any triangle, a longer side faces a larger angle, and equally long sides face equally large angles).

= measure of side AC (in inches) = measure of side BC (in inches)
because AB measures 8 inches and the perimeter is 22 inches

Solving the equation:

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