Question

What is the length of AC?

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units
A
X
O
X+4
3x-8
B

Answer 1

The length of side AC is 6.

In a triangle where angle A is congruent to angle C, it implies that sides AB and BC are congruent. Therefore, we have:

AB = BC

Given that AB = x + 4 and BC = 3x - 8, we can set up an equation:

x + 4 = 3x - 8

Now, solve for x:

2x = 12

x = 6

Now that we have the value of x, we can find the length of side AC:

AC = x

AC = 6

So, the length of side AC is 6.