Plot and label the points A (1, -3), B(5, 7), and C (7, -1), then draw the trian
ID: 3211397 • Letter: P
Question
Plot and label the points A (1, -3), B(5, 7), and C (7, -1), then draw the triangle with vertices A, B, and C. Find the precise equations of the three line segments forming the boundary of delta ABC. (i.e., the equations of,, and) Identify each line by writing its equation on your graph. Determine the exact area of delta ABC by integrating with respect to x. Hint: Write this area as the sum of two definite integrals, one for x le 5 and another for x ge 5. Determine the exact area of delta ABC by integrating with respect to y. Determine the exact area of delta ABC without calculus as follows: Compute the exact lengths of the line segments,, and. Use the Law of Cosines to determine the measure of. Using as the base of the triangle, determine its height. Use the standard formula for the area of a triangle with base b and height h to confirm the answers you obtained in parts III and IV.Explanation / Answer
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