figure XYZ in the coordinate plane. Find the perimeter of the figure rounded to the nearest tenth. X(−6, 2), Y(8, 2), and Z(5, 8)

Answer 1

Hi Grace H., The perimeter is the sum of the lengths of the 3 sides. You can find the length of each side by finding the distance between the two vertices with the distance formula. For example,

XY = SQRT([8 - (-6]^2 + (2 - 2)^2) = SQRT(14^2 + 0^2) = 14

So the length XY is 14.

Do the same for YZ and XZ and add up the three numbers to get the perimeter. Tom S.

Answer 2

14 + sqr157 + 3sqr5

graph the three points

they create a triangle with base = 14

the other 2 sides are hypotenuses of 2 right triangles, One has 2 sides 11 and 6, so its hypotenuse is sqr(121+36) = sqr157. the other has 2 sides 3 and 6, so its hypotenuse is sqr(36+9) = sqr45 = 3sqr5

add them up, 14+sqr157 + 3sqr5