Question

what is the value of x?
enter your answer in the box.
x =
triangle with vertices a, b, c. side ab: 6x - 3, side ac: 3x + 6, side bc: 5x. angles at b and c are equal (isosceles triangle indication).

Explanation:

Step1: Identify triangle type

The triangle has two equal angles (at B and C), so it's isosceles. Thus, sides opposite equal angles are equal: \(6x - 3 = 3x + 6\).

Step2: Solve for x

Subtract \(3x\) from both sides: \(6x - 3x - 3 = 6\) → \(3x - 3 = 6\).
Add 3 to both sides: \(3x = 6 + 3\) → \(3x = 9\).
Divide by 3: \(x = \frac{9}{3} = 3\).

Answer:

3