The discussion revolves around finding the area of a triangle given three points in a Cartesian coordinate system: (2, 3), (4, 5), and (6, 7). Participants explore various methods for calculating the area, including using a specific formula and alternative approaches.
Participants express disagreement regarding the possibility of forming a triangle with the given points, with some asserting that the area is zero due to collinearity, while others focus on methods for calculating the area assuming a triangle can be formed.
The discussion does not resolve the implications of collinearity on the area calculation, and there are multiple proposed methods that may depend on different assumptions about the points.
Given (2, 3), (4, 5), (6, 7), find the area using the formula below.
Note: (a, b) (c, d) (e, f)
a = 2
b = 3
c = 4
d = 5
e = 6
f = 7
A = (1/2)[(ad - cb) + (cf - ed) + (eb - af)]
MarkFL said:Suppose you weren't given a formula into which you may "plug and chug"...can you outline a method you could use to find the area?
RTCNTC said:1. Apply distance formula 3 times.
2. Heron's Formula.