How do you find two ways to determine if the triangle with vertices A(-7,3), B(4,0), and C(-4,4) is a right triangle?

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Answer 1 · 2017-11-13T16:42:11

Check the Problem.

We are given the points (pts.)

#A=A(-7,3), B=B(4,0), C=C(-4,4).#

Method 1 :

Using the Distance Formula, we have,

#AB^2=(-7-4)^2+(3-0)^2=121+9=130.#

#BC^2=(4-(-4))^2+(0-4)^2=64+16=80.#

#AC^2=(-7-(-4))^2+(3-4)^2=9+1=10.#

Since, #AB^2!=BC^2+AC^2, /_C!=90^@.#