Answer:
BC is 10 unit
BD is 15 units
Step-by-step explanation:
Here, given the end points of the line segments, we want to calculate BD and DC
Mathematically, the distance between two points can be calculated using the formula;
D = √(x2-x1)^2 + (y2-y1)^2
For BD, we have the following
D = √(14-5)^2 + (14-2)^2
D = √(9)^2 + 12^2
D = √81 + 144
D = √(225)
Distance BD is 15 units
For BC, we have the following
D = √(11-5)^2 + (10-2)^2
D = √(6)^2 + 8^2
D = √100
D = 10