Use the pythagorean theorem to prove whether or not each set of numbers represent the side lengths of a right triangle. in your final answer, include your proof. a. 6, 12, and 15 b. 5, 12, and 13 you! : )

The pythagorean theorm is a^2 + b^2=C^2 
so 6*6=36  12*12=144
144+36= 180
and 15*15=225 
so this is not a right triangle
5*5=25  12*12=144
144+25=169
13*13 is 169 
this is a right triangle

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.