Finding the area of a triangle is straightforward if you know the length of the base and the height of the triangle. But is it possible to find the area of a triangle if you know only the coordinates of its vertices? In this task, you’ll find out. Consider ΔABC, whose vertices are A(2, 1), B(3, 3), and C(1, 6); let line segment AC represent the base of the triangle. Part A
Find the equation of the line passing through B and perpendicular to AC.

First, get the equation of the line AC

The slope of AC is:

Use point A (2, 1) and point slope form to find the equation:

Part A

Equation of the perpendicular line passing through B (3, 3)

Perpendicular lines have negative reciprocal slopes so this line will have a slope 1/5.

Find the equation same way we did above:

or

y = 0.2x + 2.4

Step-by-step explanation:

equation formula = mx+b

slope = (2-3) / (-2-3) = 0.2

y-intercept = 2.4

i’m sorry but i don’t know sorry