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8_murik_8 [283]
2 years ago
6

Triangle ABC has the coordinates A(-3, -2), B(2, 4) and C(2,-2). What is the area of triangle ABC?

Mathematics
1 answer:
Snezhnost [94]2 years ago
3 0

Answer:   The area is 15 square units

Step-by-step explanation:  It is helpful to sketch the coordinates on a graph to get an idea of what the triangle looks like so you can see which side will be the base, and where to get the height. You will see that AB is the hypotenuse, it is a right triangle, so AC can be the base and BC is the height.

Use the differences in x-values of points C & A to get the length of the base:   2-(-3) is 5

Use the differences in y-values of points B & C to get the height:

4-(-2) = 6

Area = bh/2

A = 5×6/2 = 30/2

A = 15 square unts

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Step-by-step explanation:

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Step-by-step explanation:

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The first step is to define the fundamental principle of counting. The fundamental principle of counting states that if a process can be carried out in n steps, where there are n_1  ways to complete the first step, n_2 ways to complete the second step, n_3, and n_k ways to complete the k^{th} step, this process can be carried out in  n_1\times n_2\times n_3\times ...\times n_k ways.

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