find the area in square units of the polygon with the given vertices A (-5, 0), B (0, 10), and C (15,0)

Answers

Answer 1

Answer:

Answer:

To find the area of the polygon with the given vertices A(-5, 0), B(0, 10), and C(15, 0), you can use the formula for the area of a triangle when you have the coordinates of its vertices. The formula is:

Area = 1/2 * |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|

In this case, A(-5, 0), B(0, 10), and C(15, 0), so you can plug in these coordinates into the formula:

Area = 1/2 * |-5(10 - 0) + 0(0 - 0) + 15(0 - 10)|

Simplify the expression inside the absolute value:

Area = 1/2 * |-50 + 0 - 150|

Now, continue simplifying:

Area = 1/2 * |-200|

Since we're taking the absolute value, it becomes:

Area = 1/2 * 200

Now, calculate the area:

Area = 100 square units

So, the area of the polygon is 100 square units.

You can also use the distance formula, but this way is faster to me :-p

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Answers

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