Question

Let T be the triangle with vertices at left(-3, -5 right), left(-6, 4 right), left(-1, -5 right). The area ofT is Hint: Use the projection formula to find the length of an altitude orthogonal to any chosen base. b.)Find the distance of the point left(-6, -1 right) from the line through left(9, 6 right) which points in the direction of .c.) What is the distance from the point (9, 5, -7) to the xz-plane? Distance = 12.449899

Answer 1

To find the area of the triangle, you can use the formula for the area of a triangle with three given vertices. First, find the length of one side of the triangle by using the distance formula between the two vertices. Then, use this side length and the formula for the area of a triangle to calculate the area.

Step-by-step explanation:

To find the area of the triangle, you can use the formula for the area of a triangle with three given vertices. First, find the length of one side of the triangle by using the distance formula between the two vertices. Then, use this side length and the formula for the area of a triangle to calculate the area.

1. Find the distance between the vertices (-3, -5) and (-6, 4). This will give you the length of one side of the triangle.
2. Use the formula Area = (base * height) / 2 to calculate the area of the triangle. The base will be the length of the side you found in step 1, and the height will be the distance between the remaining vertex (-1, -5) and the line containing the side you found in step 1. You can find the distance using the projection formula.
3. Plug the values into the formula and calculate the area.

Learn more about Calculating the area of a triangle