Question

Give two sets of potential side lengths for a triangle. For example, you could give the side lengths 3, 4, and 5. One set of side lengths should be able to be used to form a right triangle and the other set of side lengths should not be able to be used to form a right triangle. Do not state which set of side lengths forms a right triangle and which doesn’t. Your classmates will have to determine this. Suppose you’re making a triangle where you know the measures of two angles and the length of the side between those two angles. Write two angle measures and the length of the side between them for your triangle. You can use any measurements you want as long as they could really be used to form a triangle.

Answer 1

5, 12, 13 (right triangle)
4, 10, 12 (non-right triangle)
30degrees,  40 degrees, with 8 in the middle
I chose a Pythagorean triple so I knew that a^2+b^2=c^2. For the non-right triangle, I chose 3 numbers in which the sum of the smaller two sides are greater than the larges to know it is a triangle. I chose two acute angles so that the angles will meet you cannot have anything more than 180 degrees to create a triangle.