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In a rectangular coordinate system, what is the area of a triangle whose vertices have the coordinates (4, 0), (6, 3), and (6, -3)?
- a)7.5
- b)7
- c)6.5
- d)6
- e)5.5
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
In a rectangular coordinate system, what is thearea of a triangle whos...
Draw the x and y-axes, then plot the points and connect them. The length of the base is 6 units [from
(6, 3) to (6, -3)] and the height is 2 units [from (6, 0) to (4, 0)].Area of a triangle = (base × height) / 2, so (6 × 2)/2 is 6.
(6, 3) to (6, -3)] and the height is 2 units [from (6, 0) to (4, 0)].Area of a triangle = (base × height) / 2, so (6 × 2)/2 is 6.
Most Upvoted Answer
In a rectangular coordinate system, what is thearea of a triangle whos...
Coordinates of the Triangle Vertices
- A(4, 0)
- B(6, 3)
- C(6, -3)
Calculating the Area of the Triangle
To find the area of the triangle with the given vertices, we can use the formula for the area of a triangle given the coordinates of its vertices. The formula is:
Area = 0.5 * |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|
Let's substitute the coordinates of the vertices into the formula:
Area = 0.5 * |4(3 - (-3)) + 6(-3 - 0) + 6(0 - 3)|
Area = 0.5 * |4(6) + 6(-3) + 6(-3)|
Area = 0.5 * |24 - 18 - 18|
Area = 0.5 * |24 - 36|
Area = 0.5 * |-12|
Area = 6
Therefore, the area of the triangle with vertices (4, 0), (6, 3), and (6, -3) is 6 square units, which corresponds to option D.
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In a rectangular coordinate system, what is thearea of a triangle whose vertices have thecoordinates (4, 0), (6, 3), and (6, -3)?a)7.5b)7c)6.5d)6e)5.5Correct answer is option 'D'. Can you explain this answer?
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