Area of Non-right Triangles Practice
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Question
Use the image to answer the question.
An illustration shows a 10 by 10 grid. A non-right triangle is enclosed within the grid. The first vertex is at the top of row 2 and the right of column 6. The second vertex is at the top of row 10 and the right of column 1. The third vertex is at the bottom of row 10 and the right of column 9.
What is the area of the non-right triangle? The base and height are found by counting the squares. Do not round your answer.
(1 point)
The area is
a
square units.
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To find the area of the non-right triangle, we need to first find the base and height of the triangle.
The base is the distance from the first vertex (top of row 2, right of column 6) to the third vertex (bottom of row 10, right of column 9). Counting the squares horizontally, we find that the base is 3 units.
The height is the perpendicular distance from the second vertex (top of row 10, right of column 1) to the base. Counting the squares vertically, we find that the height is 8 units.
Now, we can calculate the area of the triangle using the formula:
Area = 0.5(base x height)
Area = 0.5(3 x 8)
Area = 0.5(24)
Area = 12 square units
Therefore, the area of the non-right triangle is 12 square units.