Question

this triangle is equilateral. find the value of z. 2z + 12 4z + 6 z = ?

Explanation:

Step1: Recall equilateral triangle property

In an equilateral triangle, all sides are equal. So, the two given side expressions \(2z + 12\) and \(4z+6\) are equal.
\[2z + 12=4z + 6\]

Step2: Solve for z

Subtract \(2z\) from both sides:
\[12 = 2z+6\]
Subtract 6 from both sides:
\[6 = 2z\]
Divide both sides by 2:
\[z = 3\]

Answer:

\(z = 3\)