What is the perimeter of this triangle?

9514 1404 393

  (d)  27.9 units

Step-by-step explanation:

For repetitive calculations, I like to let a spreadsheet do the work. The attached shows the length of each segment and the sum of all three.

The perimeter is about 27.9 units.

__

The distance formula tells you the length of each segment.

  d = √((x2 -x1)^2 +(y2 -y1)^2)

The top line segment is ...

  d = √((16 -3)^2 +(-2 -(-1))^2) = √(169 +1) = √170 ≈ 13.038 . . . units

The lengths of the others are computed similarly. The perimeter is the sum of all of the side lengths. Adding clockwise, we find ...

  P = 13.038 +7.616 +7.211 = 27.865 . . . . . rounds to 27.9 units

(a) the volume of the cone is 20/3 in3

hence, option a is correct.

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,