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20 Points Help Please! Calculate the area of triangle ABC with CD, given A(6,0) B(1,5) C(2,0) D(4,2) with thorough explanation.

Respuesta :

The area of the triangle ABC with the coordinates A(6,0) B(1,5) C(2,0) is 10 square units

How to determine the area of the triangle ?

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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