Question

Let it be ( A=(-4,1), B=(-3,-3) and ( C=(5,-3) . With a triangle ( A B C ) is the median ( {BP} ). Calculate the triangle BCP surface area. 31. The area of the forest plot is 2.2"

Answer 1

To find the surface area of triangle BCP, you can use the formula for the area of a triangle, which is half of the base times the height. The base is BC, and the height is the distance from point P to line BC. You can find the length of BC using the distance formula, and then find the distance from point P to line BC, which is the perpendicular distance from P to line BC.

Step-by-step explanation:

To find the surface area of triangle BCP, we can use the formula for the area of a triangle, which is half of the base times the height. In this case, the base is BC, and the height is the distance from point P to line BC.

First, we find the length of BC using the distance formula: BC = √((Cx - Bx)^2 + (Cy - By)^2). Plugging in the values of B=(-3,-3) and C=(5,-3), we get BC = √((5 - -3)^2 + (-3 - (-3))^2) = √((8)^2 + (0)^2) = 8.

Next, we find the distance from point P to line BC, which is the perpendicular distance from P to line BC. We'll call this distance h. The area of triangle BCP is then 0.5 * BC * h.