You have some marbles. When you make a shape of an equilateral triangle, you either have 4 extra, or you need 28 more to complete the shape.

Question

You have some marbles. When you make a shape of an equilateral triangle, you either have 4 extra, or you need 28 more to complete the shape. How many marbles do you have? How long is a side of the biggest equalateral triangle that you can make make with your marbles?

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Vodka 5 years 2021-08-17T15:49:35+00:00 1 Answers 22 views 0

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    2021-08-17T15:50:47+00:00

    Answer:

    You have 500 marbles.

    The longest side of the biggest equalateral triangle that you can make with your marbles is 31

    Step-by-step explanation:

    28 + 4 = 32

    So our equation is:

    TR(32) – 28

    Now find Triangular Number 32: (32 *33)/2=528

    528 – 28 = 500

    So, we have 500 marbles

    Now we need to find the longest side of the biggest equalateral triangle that you can make make with your marbles

    Let’s go back to 28 + 4 = 32

    One row above 32 is 31

    So the longest side of the biggest equalateral triangle that you can make with your marbles is 31

    Hope this helps!

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