Question

what formulas can you use to find the area of a triangle in a coordinate plane? you can use the formula to find the lengths of a base and height of the triangle. then, you can find the area of the triangle in terms of the base b and height h using the formula for the area of a triangle, a =

Explanation:

Step1: Find side - length formula

To find the lengths of a base and height of a triangle in a coordinate - plane, we use the distance formula. The distance $d$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.

Step2: Find area formula

The formula for the area of a triangle in terms of base $b$ and height $h$ is $A=\frac{1}{2}bh$.

Answer:

First blank: distance; Second blank: $\frac{1}{2}bh$