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:

\(z = 3\)