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Plot the points in a graph (-2,3) B(-2,0), C(2,0) and D(2,6) on the graph paper. Join them consecutively and find the area of ∆ ABC

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2 Answers

4 votes

Answer:

To plot the points on a graph paper, you need to draw the x and y axes first. Then, plot the points (-2, 3), (-2, 0), (2, 0), and (2, 6) on the graph paper by counting the number of units from the origin (0, 0) in the x and y directions. Once you have plotted the points, join them consecutively to form triangle ABC.

To find the area of triangle ABC, you can use the formula:

Area = 1/2 * base * height

where the base is the length of BC and the height is the perpendicular distance from A to BC. To find the length of BC, you can use the distance formula:

BC = sqrt[(2 - (-2))^2 + (0 - 0)^2] = 4

To find the height, you need to draw a perpendicular line from A to BC and find its length. Since A is located at (-2, 3) and the line BC is horizontal, the perpendicular line from A to BC is vertical and passes through the point (-2, 0). Therefore, the height is equal to the distance between (-2, 3) and (-2, 0), which is 3 units.

Substituting the values into the area formula, we get:

Area = 1/2 * 4 * 3 = 6 square units

Therefore, the area of triangle ABC is 6 square units.

User Cytsunny
by
8.1k points
2 votes

Answer:

6
units^(2)

Explanation:

The first point is not labeled. I assumed that it is point A.

Plot the points in a graph (-2,3) B(-2,0), C(2,0) and D(2,6) on the graph paper. Join-example-1
User Cassio Cabral
by
8.2k points