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Computer monitors are calculated by their diagonals. If a monitor is advertised to be 19 in, Determine the actual viewing area, considerthe screen is square? (Round to the nearest tenth.)
a. 361.0 in2
b. 90.25 in2
c. 144.4 in2
d. 180.5 in2
d. Since the monitor is square, the length and diagonal of the sides of the monitor form an isosceles right triangle. The question needs one to ?nd the length of one leg to evaluate the area. Using the Pythagorean theorem: s2 + s2 = 192; 2s2 = 361. Divide by 2; s2 = 180.5. Evaluate the square root; s = 13.44. To determine the area of a square, area = s2. Thus, area = (13.44)2 or 180.5 in2. If you select a, you simply squared the diagonal or 192 = 361.
Are the two angles of a rectangles congruent ? why ?
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