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Harlamova29_29 [7]
4 years ago
12

The diagonal of a TV is 30 inches long. Assuming that this diagonal forms a pair of 30-60-90 right triangles, what are the exact

length and width of the TV?
Mathematics
1 answer:
Nutka1998 [239]4 years ago
7 0
The ratio of sides for a 30 : 60 : 90 =  1 : √3 :2.

Note the 90 degrees represent the hypotenuse, which in this case is 30 inches.

<span>1 : √3 :2 =  x : y : 30
</span>
To get 1, on the left side, we simply divide 2 by 2

Similarly x = 30/2 = 15.

To get √3, on the left side, we simply multiply 1 by √3

Similarly y = 15 * √3 = 15√3

<span>Therefore the length and width respectively are </span>15 and 15√3 inches<span> </span>
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