Triangle ABC

[Oculus8596]

Consider the points A = (-2, 1), B = (2, 3) , and C = (3, 1).

A. Plot each point to form triangle ABC.
B. Find the length of each side of the triangle.
C. Show that the triangle is a right triangle.
D. Find the area of the triangle.

See attachment for math work.

 

[fresh_42]

Your solution is correct. I only have a minor note on D. If you use the height from B, then you directly have $ h_B=2 $ and $ A=\dfrac{1}{2}\cdot 2\cdot d(A,C)=5. $

I typed LaTeX code, although MathJax doesn't seem to be installed here.

If you like, you can download a free TeX editor from

TeXstudio - A LaTeX editor

texstudio.org

which enables you to convert my code into a pdf preview.

 

[Oculus8596]

Your solution is correct. I only have a minor note on D. If you use the height from B, then you directly have $ h_B=2 $ and $ A=\dfrac{1}{2}\cdot 2\cdot d(A,C)=5. $

I typed LaTeX code, although MathJax doesn't seem to be installed here.

If you like, you can download a free TeX editor from

TeXstudio - A LaTeX editor

texstudio.org

which enables you to convert my code into a pdf preview.

I would prefer for you not to use LaTex when replying to my posts. Use regular math typing symbols.

For example:

x square = x^2.

2 divided by 5 = 2/5

square root of x = sqrt{x}.

And so on.....