A television is measured by its diagonal. If the height of a 70 inch television is 42 inches, what is the width?

Use the Pythagorean theorem:

70^2 = 42^2 + width^2

4900 = 1764 + width ^2

Subtract 1764 from both sides

3136 = width^2

Take the square root of both sides

Width = 56 inches

answer:

your answer is: c. 196 7/8 in^3.

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4