Answer:To find the largest equilateral triangle that can be made with 52 marbles, we need to consider the number of marbles required for each side of the triangle.
In an equilateral triangle, all three sides are equal in length. Let's assume that each side of the equilateral triangle requires n marbles.
Since an equilateral triangle has three sides, the total number of marbles used for the triangle would be 3n.
Given that we have 52 marbles, we can set up the equation 3n = 52 to find the value of n.
Dividing both sides of the equation by 3, we get n = 52/3.
However, since we need a whole number of marbles for each side, we need to round n down to the nearest whole number.
n = 52/3 ≈ 17.33
Therefore, we can make an equilateral triangle with a side length of 17 marbles.
Step-by-step explanation: