Question

Let A = (1, 4), B = (8, 0), and C = (7, 8). Find the area of triangle ABC.

Answer 1

@jim_thompson5910

Answer 2

are you able to find the lengths of the sides of the triangle?

Answer 3

I did

Answer 4

after you determine each side, you can use Hero's (or Heron's) formula to calculate the area

http://mathworld.wolfram.com/HeronsFormula.html

Answer 5

Can you explain how I can do this geometrically? I am in 9th grade and my teacher does not want me to use concepts we haven't learned in class.

Answer 6

I guess I should plot the points to see if we get a right triangle or not, one moment

Answer 7

I don't see how you got 2*sqrt(65)

Answer 8

I apologize for the typo

Answer 9

ok better

Answer 10

I guess one way to do this is to draw a rectangle around the triangle. Make the rectangle as small as possible

Answer 11

the area we want is region Q