SOLUTION: Determine wether the triangle with the given side lenghts is a right triangle. A computer monitor screen is measured by the length of a diagonal.A 19-inch monitor screen is abou

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Question 135851: Determine wether the triangle with the given side lenghts is a right triangle.
A computer monitor screen is measured by the length of a diagonal.A 19-inch monitor screen is about 12 inches high. About how wide is the screen to the nearest inch.

Any straightfoward and correct help would be much obliged:)
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
For your first question, you didn't give the side lengths of the triangle, so all I can tell you is that if the measure of the longest side (the hypotenuse) squared is equal to the sum of the other two sides after you square each of them, then it is a right triangle. Otherwise not. So if your sides are length a, b, and c, and c is the longest side, if c%5E2=a%5E2%2Bb%5E2, then the triangle is a right triangle.

The height, width, and diagonal of a computer screen make a right triangle. Using the formula in the first question, you can say:

19%5E2=12%5E2%2Bw%5E2 where w is the width. Rearranging: w%5E2=19%5E2-12%5E2, so w=sqrt%2819%5E2-12%5E2%29. Punch that into a calculator and then round off to the nearest inch.