Question

this triangle is isosceles. find the value of z. 12z - 9, 8z + 3, z = ?

Explanation:

Step1: Set equal sides (isosceles)

In an isosceles triangle, the two sides opposite equal angles are equal. So, \(12z - 9 = 8z + 3\).

Step2: Solve for z

Subtract \(8z\) from both sides: \(12z - 8z - 9 = 3\) → \(4z - 9 = 3\).
Add 9 to both sides: \(4z = 3 + 9\) → \(4z = 12\).
Divide by 4: \(z = \frac{12}{4}\) → \(z = 3\).

Answer:

\(z = 3\)