The perimeter of right triangle XYZ is determined as 41.89 units. (Option D).
How to calculate the perimeter of the right triangle XYZ?
The perimeter of right triangle XYZ is calculated by applying formula for distance between two points as follows;
Perimeter = XZ + YZ + XY
The length of XZ is calculated as;
coordinate X = (1, 6)
coordinate Z = (9, -10)
XZ = √ (9 - 1)² + (-10 - 6)²
XZ = 17.89 units
The length of YZ = 9 - 1 = 8 units
The length of XY is calculated as follows;
XY = 6 - (-10)
XY = 16 units
The perimeter of triangle XYZ is;
P = 17.89 units + 8 units + 16 units
P = 41.89 units
The complete question is below;
Right triangle XYZ is drawn on a coordinate plane
Which of the following is closest to the perimeter of XYZ?
A. 30.21 units
B. 35.42 units
C. 38.22 units
D. 41.89 units