Mathematics Warm Ups:

1. What nationality was Pythagoras?
Answer: Greek
2. What is the Pythagorean Theorem?
Answer:
In a right triangle if a and b are the measures of the legs and c is the measure of the hypotenuse, then c^{2} = a^{2} + b^{2}.
3. In a right triangle if one leg is 3 and the other is 4, what is the value of the hypotenuse?
Answer:
3^{2} + 4^{2} = c^{2}
9 + 16 = c^{2}
25 = c^{2}
5 = c
4. In a right triangle, if one leg is 5 and the hypotenuse is 13, what is the value of the other leg?
Answer:
5^{2} + b^{2} = 13^{2}
25 + b^{2} = 169
b^{2} = 144
b = 12
5. Given the following values for the sides of a triangle, which is not a right triangle?
Triangle 1: a=6, b=8, c=10
Triangle 2: a=5, b=6, c=Square Root of 61
Triangle 3: a=11, b=15, c=61
Answer: Triangle 3
