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April 8th, 2009, 02:27 PM   #1
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Pythagorean Theorem HELP PLEASE!!!!!!! ASAP

The ratio w/h = 4/3
Here, k is a scale factor. When the sides of the screen are w=4k and h=3k, then we still get the ratio w/h= 4k/3k= 4/3
Use the Pythagorean Theorem (a^2 + b^2 = c^2) to find some of the quantities below.

This is what I had for part a, but I dont understand how the others are being explained. I did what I could, but Im sure if its correct.

a) If w = 4 and h = 3, then d = ___5__ (Use Pythagorean Theorem to find a numerical value for d.)



b) If w = 4k and h = 3k, then d = ____k= 4^2+3^2=c^2___________ (Use Pythagorean Theorem to find a formula for d in terms of k.)



c) Solve for k in terms of d: k = ___4^2+3^2=k^2___K^2=25__________ (Now rearrange the formula from part b) and solve for k in terms of d.)



d) If d = 32, then



k = ___________ (Use the formula in part c).)



h = ________________ (h = 3k)



w = ________________ (w = 4k)
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April 8th, 2009, 05:20 PM   #2
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You should effectively use the Pythagorean Theorem a + b = c, but with w, h, and d instead of a, b, and c, respectively.

Hence, for example, when w = 4k and h = 3k, (4k) + (3k) = d, i.e., 25k = d, so d = 5k.

You should be able to finish correctly now.
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