Question

the triangle below is equilateral. find the value of y. the triangle has two sides marked as equal (one side is 26, the base is 5y - 9) y = ?

Explanation:

Step1: Recall equilateral triangle property

In an equilateral triangle, all sides are equal. So the side with length \(5y - 9\) is equal to the side with length 26.

Step2: Set up the equation

We set up the equation \(5y - 9 = 26\).

Step3: Solve for y

Add 9 to both sides: \(5y = 26 + 9 = 35\). Then divide both sides by 5: \(y=\frac{35}{5}=7\).

Answer:

7