Find the area of ABC with vertices A(4, -3) B(9,-3) , and C(10, −11)

Mathematics

1 answer:

Georgia [21]2 years ago

6 0

The area of triangle ABC with vertices is 22 square units

<h3>How to find the area of ABC with vertices?</h3>

The vertices are given as:

A(4, -3) B(9,-3) , and C(10, −11)

The area of the triangle is calculated using

Area = 0.5 * |Ax(By - Cy) + Bx(Ay - Cy) + Cx(Ay - By)|

This gives

Area = 0.5 * |4 * (-3 + 11) + 9 * (-3 + 11) + 10 * (-3 - 3)|

Evaluate the sum of products

Area = 0.5 * |44|

Remove the absolute bracket

Area = 0.5 * 44

Evaluate

Area = 22

Hence, the area of ABC with vertices is 22 square units

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