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Mathematics 37 Online
OpenStudy (calculusxy):

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

OpenStudy (calculusxy):

@jim_thompson5910

jimthompson5910 (jim_thompson5910):

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

OpenStudy (calculusxy):

I did |dw:1478396221715:dw|

jimthompson5910 (jim_thompson5910):

after you determine each side, you can use Hero's (or Heron's) formula to calculate the area http://mathworld.wolfram.com/HeronsFormula.html

OpenStudy (calculusxy):

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.

jimthompson5910 (jim_thompson5910):

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

jimthompson5910 (jim_thompson5910):

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

OpenStudy (calculusxy):

|dw:1478396553585:dw|

OpenStudy (calculusxy):

I apologize for the typo

jimthompson5910 (jim_thompson5910):

ok better

jimthompson5910 (jim_thompson5910):

I guess one way to do this is to draw a rectangle around the triangle. Make the rectangle as small as possible |dw:1478396636691:dw|

jimthompson5910 (jim_thompson5910):

the area we want is region Q |dw:1478396672816:dw|

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