Calculate the area of triangle ABC with altitude CD, given A (6,0), B (1,5), C (2.0), and D (4,2).

5 square units

8 square units

10 square units

13 square units

10 square units

Step-by-step explanation:

So you the only things you need to find the area is the base and the height.

The height is CD, and the distance is:

√ (0 - 2) ^2 + (2 - 4) ^2 = √4 + 4 = √8 = 2√2

The base should be AB, and AB is equal to:

√ (5 - 0) ^2 + (1 - 6) ^2 = √25 + 25 = √50 = 5√2

2√2 * 5√2 = 20

20 / 2 = 10

10 square units