SOLUTION: a 19-inch television has a rectangular screen whose diagonal measures 19 inches. If the width of the screen is 15 inches, what is its height to the nearest inch?
Please show me
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Question 258963: a 19-inch television has a rectangular screen whose diagonal measures 19 inches. If the width of the screen is 15 inches, what is its height to the nearest inch?
Please show me how you arrived at the answer. I would like to be able to go over this with my 14 year old son in 8th grade. Thank you. Answer by richwmiller(17219) (Show Source):
You can put this solution on YOUR website! This depends on the Pythagorean theorem about right triangles.
a and b are the legs (sides of the TV) and c is the diagonal ( the hypotenuse)
a^2+b^2=c^2
where a=15 and c=19
15^2+b^2=19^2
225+b^2=361
136=b^2
11.66=c
We are not interested in negative roots since we can't have a negative side to the TV
11.66 is closest to 12 inches.
