The triangle in the figure has vertices at points P(0, 0), Q(0, 6.5), and R(3, 2). What is the area of the triangle? Group of answer choices11.79.819.419.5
Question
The triangle in the figure has vertices at points P(0, 0), Q(0, 6.5), and R(3, 2).
What is the area of the triangle?
Group of answer choices
- 11.7
- 9.8
- 19.4
- 19.5
Solution
The area of a triangle is given by the formula 1/2 * base * height.
In this case, the base of the triangle is the distance between points P and R, which is 3 units (from the x-coordinate of R). The height of the triangle is the distance between points P and Q, which is 6.5 units (from the y-coordinate of Q).
So, the area of the triangle is 1/2 * 3 * 6.5 = 9.75 square units.
Therefore, the closest answer choice is 9.8.
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