Asked by kudu
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.
Answers
Answered by
Bosnian
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
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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