Question

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.

Answer 1

Since m<A ≅ m<C, AB = BC.

And...

x+4=3x-8

-2x=-12

x=6

Since AC=x, AC=6.

answer: AC = 6

Answer 2

Length of AC is 6

Explanation:

he 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.

hope this helped