Find the perimeter of the triangle defined by the coordinates (9, 0), (-5, 0), and (-10, 6). (Round to nearest tenth) A) 39.7 units B) 39.8 units C) 41.7 units D) 41.8 units
Accepted Solution
A:
The distance formula is: d = root ((x2-x1) ^ 2 + (y2-y1) ^ 2) We use the formula to find the perimeter of the triangle: (9, 0) and (-5, 0): d1 = root ((- 5-9) ^ 2 + (0-0) ^ 2) d1 = 14 (9, 0) and (-10, 6): d2 = root ((- 10-9) ^ 2 + (6-0) ^ 2) d2 = 19.92485885 (-5, 0) and (-10, 6): d3 = root ((- 10 - (- 5)) ^ 2 + (6-0) ^ 2) d3 = 7.810249676 The perimeter is: P = d1 + d2 + d3 P = 14 + 19.92485885 + 7.810249676 P = 41.73510853 Rounding: P = 41.7 units Answer: C) 41.7 units