Question

the triangle below is equilateral. find the value of y. 14 5y + 4 y = ?

Explanation:

Step1: Recall equilateral triangle property

In an equilateral triangle, all sides are equal. So the two given sides (14 and \(5y + 4\)) must be equal.

Step2: Set up the equation

Set \(14 = 5y + 4\).

Step3: Solve for y

Subtract 4 from both sides: \(14 - 4 = 5y\), so \(10 = 5y\). Then divide both sides by 5: \(y=\frac{10}{5}=2\).

Answer:

\(y = 2\)