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The diagonal length of a rectangular TV screen measuring 70 × 240 is

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Bunuel
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The diagonal length of a rectangular TV screen measuring 70 × 240 is [#permalink] New post   22 Feb 2021, 01:15
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The diagonal length of a rectangular TV screen measuring 70 × 240 is how much greater than the diagonal length of a rectangular TV screen measuring 80 × 150?

A. 30
B. 35
C. 60
D. 80
E. 90


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The diagonal length of a rectangular TV screen measuring 70 × 240 is [#permalink] New post   22 Feb 2021, 09:16
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Bunuel wrote:
The diagonal length of a rectangular TV screen measuring 70 × 240 is how much greater than the diagonal length of a rectangular TV screen measuring 80 × 150?

A. 30
B. 35
C. 60
D. 80
E. 90

When we were high school, our teacher taught like this
3-4-5
5-12-13
7-24-25
8-15-17
9-40-41
Here the same example after 22 years...

250-170 = 80

Ans D
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TarunKumar1234
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Re: The diagonal length of a rectangular TV screen measuring 70 × 240 is [#permalink] New post   22 Feb 2021, 10:07
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The diagonal length of a rectangular TV screen measuring 70 × 240 is how much greater than the diagonal length of a rectangular TV screen measuring 80 × 150?

Diff. in diagonal length = Sqrt (70^2 + 240^2) + Sqrt (80^2 + 150^2) = 10* 25 - 10* 17 = 80.

So, I think D. :)
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Re: The diagonal length of a rectangular TV screen measuring 70 × 240 is [#permalink] New post   22 Feb 2021, 10:22
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7-24-25 and 8-15-17 are pythagorean triplets and since the numbers are multiplied by 10, they would still be triplets

so 250 and 170 are the length of the diagonals and the difference is 80

D
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Re: The diagonal length of a rectangular TV screen measuring 70 × 240 is [#permalink] New post   22 Feb 2021, 20:03
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The diagonal length of a rectangular TV screen measuring 70 × 240 is how much greater than the diagonal length of a rectangular TV screen measuring 80 × 150?

Difference = sqrt(70^2 + 240^2) + sqrt(80^2 + 150^2)
= 250 - 170
= 80

Option D

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Re: The diagonal length of a rectangular TV screen measuring 70 × 240 is [#permalink] New post   13 Mar 2021, 16:41
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Bunuel wrote:
The diagonal length of a rectangular TV screen measuring 70 × 240 is how much greater than the diagonal length of a rectangular TV screen measuring 80 × 150?

A. 30
B. 35
C. 60
D. 80
E. 90



Solution:

Using the 7-24-25 right triangle, we see that the diagonal of a rectangular TV screen measuring 70 × 240 has a length of 250. Similarly, using the 8-15-17 right triangle, the diagonal of a rectangular TV screen measuring 80 × 150 has a length of 170. Thus, the diagonal of the former TV is 250 - 170 = 80 longer than the diagonal of the latter TV.

Answer: D
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Re: The diagonal length of a rectangular TV screen measuring 70 × 240 is [#permalink]
13 Mar 2021, 16:41
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