To find the length of any side of a right triangle, you can use the Pythagorean Thereom. It states that the squares of two sides are equal to the square of the hypotenuse:
Input the information from the diagram into the formula:
Expand each term:
Combine like terms:
Add -169 to both sides:
Factor out the Common Term (2):
Factor the Complex Trinomial:
Set Factors to equal 0:
or
However, since we are solving for the side length, the only possible answer is 5 (a shape can't have a side with a negative length.)
So at the beginning, the friends eat 3 meat pies in total. So that leaves two meat pies left. So basically, we divide the meat pies by the number of friends. 2/6 is 1/3 So each friend needs to eat 1/3 of a meat pie