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3 years ago

9

A group of 13 friends were planning a trip. On the night before they left they made a lot of phone calls. Each friend talked to

every friend at least once. What is the fewest phone calls that would have been made.

1 answer:

gavmur [86]3 years ago

6 0

I believe 156 because each person would have had to make 12 phone calls and there are 13 people so 12x13

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Step-by-step explanation:

$Blue=144units^2$ This also works as the height of the triangle.

$Pink=1225units^2$ This also works as the base of the triangle.

Let's call pink ''a'', and blue ''b''. The side we're looking for ''c'' is the hypothenuse.

To find the values of a and b, use the area formula of a square and solve for a side. In this case, since we're going to need the squared values, this step can be omitted.

$Formula: A=s^2$

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Let's work with Blue.

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So we have a triangle with a base of 35 units and a height of 12 units.

Now let's use the pythagoream's theorem to solve.

$c^2=a^2+b^2\\c=\sqrt[]{a^2+b^2} \\c=\sqrt[]{(12units)^2+(35units)^2}\\c=\sqrt[]{144units^2+1225units^2}\\ c=\sqrt[]{1369units^2}\\ c=37units$

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