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<u>Step-by-step explanation:</u>
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Area of a triangle ABC with the given vertices is 3 square units.
Given that, the vertices of a triangle ABC, A(3,-6), B(5,-6), and C(7,–9).
<h3>What is the area of triangle formula in coordinate geometry?</h3>In Geometry, a triangle is a three-sided polygon that has three edges and three vertices. The area of the triangle is the space covered by the triangle in a two-dimensional plane.
Area of a triangle =
Here, (x1, y1) = A(3,-6), (x2, y2) = B(5,-6), and (x3, y3) = C(7,–9)
Now, the area of a triangle = 1/2 (|3(-6+9)+5(-9+6)+7(-6+6)|)
= 1/2 (|3(3)+5(-3)+7(0)|)
= 1/2 (|(9-15)|)
= 1/2 × 6
= 3 square units
Therefore, area of a triangle ABC with the given vertices is 3 square units.
To learn more about the area of a area of triangle with vertices visit:
brainly.com/question/26633662.
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Simplest Form:
How to Simplify a Ratio A : B when A and B are both whole numbers:
- List the factors of A
- List the factors of B
- Find the greatest common factor of A and B, GCF(A, B)
- Divide A and B each by the GCF
- Use the whole number results to rewrite the ratio in simplest form
Try to reduce the ratio further with the greatest common factor (GCF).
<em>The GCF of 14 and 4 is 2</em>
Divide both terms by the GCF, 2:
14 ÷ 2 = 7
4 ÷ 2 = 2
The ratio 14 : 4 can be reduced to lowest terms by dividing both terms by the GCF = 2 :
14 : 4 = 7 : 2
Therefore:
14 : 4 = 7 : 2