Question

4. Given the following: X(7, 0), Y(7, 5) and Z(0, 5), calculate the distance or

length of XY, YZ, and XZ. What is the perimeter of the triangle?
a. 6.8 units
b. 11.3 units
c. 15.8 units
d. 20.6 units

Answer 1

To calculate the distance or length of XY, YZ, and XZ, we can use the distance formula: Distance = √[(x2 - x1)^2 + (y2 - y1)^2] For XY: Distance = √[(7 - 7)^2 + (5 - 0)^2] Distance = √[0 + 25] Distance = √25 Distance = 5 units For YZ: Distance = √[(0 - 7)^2 + (5 - 5)^2] Distance = √[49 + 0] Distance = √49 Distance = 7 units For XZ: Distance = √[(0 - 7)^2 + (5 - 0)^2] Distance = √[49 + 25] Distance = √74 Therefore, the length