The size of a flat-screen television is given as the length of the screen’s diagonal. How many square inches greater is the screen of a square 24-inch flat-screen television than a square 17-inch flat-screen television?  Choose the correct answer:	A) 143.5	B) 154	C) 160	D) 148.75	E) 142.25
If we take a square with side length x and draw a diagonal, we get two isosceles right triangles.   If we focus on one such right triangle, we see that the legs have length x.   square 24-inch flat-screen television   The diagonal (hypotenuse) = 24   So, we can apply the Pythagorean Theorem to get x² + x² = 24²   Simplify: 2x² = 24²   Divide both sides by 2 to get: x² = 24²/2   Since the area of the square = x², we can see that the area of this square is 24²/2   square 17-inch flat-screen television   The diagonal (hypotenuse) = 17   So, we can apply the Pythagorean Theorem to get x² + x² = 17²   Simplify: 2x² = 17²   Divide both sides by 2 to get: x² = 17²/2   Since the area of the square = x², we can see that the area of this square is 17²/2   DIFFERENCE IN 143.5RE143.5S =24²/2-17²/2   = 288 -144.5 i.e = 143.5   143.5
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The size of a flat-screen television is given as the length of the screen’s diagonal. How many square inches greater is the screen of a square 24-inch flat-screen television than a square 17-inch flat-screen television?