SOLUTION: modeling and solving problems with quadratic equations problem "your big-screen tv measures 50 inches on the diagonal. if the front of the TV measures 40 inches across the botto

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Question 341240: modeling and solving problems with quadratic equations problem
"your big-screen tv measures 50 inches on the diagonal. if the front of the TV measures 40 inches across the bottom, find the height of the TV."
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
The width, height and diagonal of a TV screen make a right triangle.
Thus, we cxan apply the Pythagorean Theorem.
a%5E2+%2B+b%5E2+=+c%5E2
Here the diagonal is the c, and the bottom can be the width and we'll call it a.
Solving, we get
b%5E2+=+c%5E2+-+a%5E2
b%5E2+=+50%5E2+-+40%5E2
b%5E2+=+2500+-+1600
b%5E2+=+900
and
b = 30