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

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