The area of the triangle ABC with the coordinates A(6,0) B(1,5) C(2,0) is 10 square units
The coordinates are given as:
A(6,0) B(1,5) C(2,0) D(4,2)
The area of the triangle is calculated using:
Area = 0.5 * |Ax(By - Cy) + Bx(Ay - Cy) + Cx(Ay - By)|
Using the above formula, we have:
Area = 0.5 * |6 * (5 - 0) + 1 * (0 - 0) + 2 * (0 - 5)|
Evaluate the sum of products
Area = 0.5 * |20|
Remove the absolute bracket
Area = 0.5 * 20
Evaluate the product
Area = 10
Hence, the area of the triangle ABC is 10 square units
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