SOLUTION: Using a 4:3 ratio, determine the side lengths of a TV whose diagonal length is 55 inches.

Question 1150626: Using a 4:3 ratio, determine the side lengths of a TV whose diagonal length is 55 inches.
Found 2 solutions by josmiceli, ikleyn:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the length
Let = the width
----------------------------
(1)
(2)
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(1)
(2)
(2)
(2)
(2)
(2)
(2)
(2)
and
(1)
(1)
(1)
---------------------------
The sides are 33 in and 44 in
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check:

OK
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.

Diagonal divide the rectangle in two triangles, each of which is (3-4-5) right angled triangle. Therefore, the dimensions of each triangle are 3x, 4x and 5x inches, where x is their common measure, now unknown. We will find x very easy by noticing that 5x = 55 inches; hence x = 11 inches. Therefore, the dimensions of the TV are 3*11 = 33 inches and 4*11 = 44 inches. ANSWER

Solved (mentally).

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