Q:

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