Kevin has a square piece of scrapbook paper that is 12 inches on each side. he folds the paper along the diagonal and makes a 45-45-90 triangle. find the length of the hypotenuse.

In this triangle hypotenuse  = length of  a leg * sqrt2

here it is 12 * sqrt2  =  16.97 inches to nearest hundredth.

Okay so after Kevin folds the paper along its diagonal, then the two legs of the triangle are 12 inches long. 

Here is a rule for a 45-45-90 triangle you can apply...

set the legs of a triangle equal to a variable (x)

the rule states that the sides of a 45-45-90 triangle are x, x, and x√2

so if we apply that to Kevin's triangle... the hypotenuse is 12√2

I hope this helps! :D

Please vote me for Brainliest!

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.