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

Question

4 years ago

10

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.

Mathematics

2 answers:

lions [1.4K] · Answer 1 · 2021-12-28T17:00:58+03:00

lions [1.4K]4 years ago

7 0

Since m<A ≅ m<C, AB = BC.

And...

x+4=3x-8

-2x=-12

x=6

Since AC=x, AC=6.

answer: AC = 6

nirvana33 [79] · Answer 2 · 2021-12-28T19:15:20+03:00

Answer:

Length of AC is 6

Step-by-step 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