Question

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.

Answer 1

in this triangle hypotenuse  = length of  a leg * sqrt2

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

Answer 2

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

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