A right triangle has the vertices below, find the area of the triangle.
(7, −3), (4, −3), (4, 9)
(1 point)
Responses
153−−−√ square units
153−−−√ square units
18 square units
18 square units
27.4 square units
27.4 square units
36 square units
To find the area of a triangle, we can use the formula:
Area = 1/2 * base * height
First, let's find the length of the base and height of the right triangle.
The base can be found by finding the distance between the points (7, -3) and (4, -3):
base = 7 - 4 = 3 units
The height can be found by finding the distance between the points (4, -3) and (4, 9):
height = 9 - (-3) = 12 units
Finally, plug the values of the base and height into the formula to calculate the area:
Area = 1/2 * 3 * 12 = 18 square units
Therefore, the correct answer is:
18 square units