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April 8th, 2009, 01:27 PM  #1 
Newbie Joined: Jan 2009 Posts: 3 Thanks: 0  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) 
April 8th, 2009, 04:20 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,484 Thanks: 2041 
You should effectively use the Pythagorean Theorem a² + b² = c², but with w, h, and d instead of a, b, and c, respectively. Hence, for example, when w = 4k and h = 3k, (4k)² + (3k)² = d², i.e., 25k² = d², so d = 5k. You should be able to finish correctly now. 

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