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What is the biggest equalaterail triangle that you can make with 52 marbles

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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:

User Shuchi Sethi
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Final answer:

To find the biggest equilateral triangle that can be made with 52 marbles, divide the total number of marbles by the number of sides. Rounded down to the nearest whole number, you can place 17 marbles on each side. The biggest equilateral triangle that can be made has a perimeter of 51 marbles.

Step-by-step explanation:

To find the biggest equilateral triangle that can be made with 52 marbles, we need to determine how many marbles can be placed on each side of the triangle. In an equilateral triangle, all sides are equal in length. So, we need to divide the total number of marbles by the number of sides (3).

  1. 52 marbles / 3 sides = 17.33 marbles per side (rounded to the nearest whole number)
  2. Since we can't have a fraction of a marble, we need to round down to the nearest whole number. Therefore, we can place 17 marbles on each side of the equilateral triangle.
  3. Now, we can calculate the perimeter of the triangle by multiplying the number of marbles on each side by the number of sides: 17 marbles * 3 sides = 51 marbles.

The biggest equilateral triangle that can be made with 52 marbles has a perimeter of 51 marbles.

User Amir
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