math

A computer monitor is 20 inches wide. The aspect ratio, which is the ratio of the width of the screen to the height of the screen, is 16:9. What is the length diagonal of the screen, to the nearest whole inch.

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  1. W = Wide

    H = height

    D = Diagonal

    W / H = 16 / 9

    20 / H = 16 / 9 Multiply both sides by 9

    20 * 9 / H = 16 * 9 / 9

    180 / H = 16 Multiply both sides by H

    180 * H / H = 16 * H

    180 = 16 H Divide both sides by 16

    180 / 16 = 16 H / 16

    11.25 = H

    H = 11.25 in

    Pythagorean theorem :

    D = sqroot ( W ^ 2 + H ^ 2 ) =

    sqroot ( 20 ^ 2 + 11.25 ^ 2 ) =

    sqroot ( 400 + 126.5625 ) =

    sqroot ( 526.5625 ) =

    22.9469497 in

    approx. 23 in

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