Q:

What is the length of AC ? Enter your answer in the box. units Triangle A B C with vertical side A C. Vertex B lies to the right of side A C. Angle A and angle C are marked congruent. The length of side A C is labeled as x. The length of side A B is labeled as x plus 4. The length of side B C is labeled as 3 x minus 8.

Accepted Solution

A:
Answer:LENGTH OF AC IS 6Step-by-step explanation:Given :the side AC = x ;we need to find x;since ∠A = ∠C , It's an isosceles triangle . i.e ,the sides opposite to the angles ( AB and CB ) are also equal.thus ,side AB = x+4 ;CB = 3x-8 ;thus AB = CB or ,x+4 = 3x-8 ,2x = 12 ,x = 6 ;therefore the side AC is 6.