Question

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

Explanation:

Step1: Set the two sides equal

In an isosceles triangle, the two equal sides (marked with the same tick marks) are equal in length. So we set \(12z - 9 = 8z + 3\).

Step2: Solve for z

Subtract \(8z\) from both sides: \(12z - 8z - 9 = 8z - 8z + 3\), which simplifies to \(4z - 9 = 3\).
Then add 9 to both sides: \(4z - 9 + 9 = 3 + 9\), so \(4z = 12\).
Divide both sides by 4: \(\frac{4z}{4} = \frac{12}{4}\), which gives \(z = 3\).

Answer:

\(z = 3\)