Asked by Katrina
Show that triangle ABC is a right triangle.
point A: (-7,-2)
point B: (-3,-3)
point C: (-4,-7)
I really don't know how to do this, please help.
point A: (-7,-2)
point B: (-3,-3)
point C: (-4,-7)
I really don't know how to do this, please help.
Answers
Answered by
Steve
you know that the sides of a right triangle obey
c^2 = a^2 + b^2
So, find the lengths of the sides and check them.
AB^2 = (-3-(-7))^2 + (-3-(-2))^2 = 4^2+1^2 = 17
Now find the other two sides (squared) and check that the largest is the sum of the other two.
c^2 = a^2 + b^2
So, find the lengths of the sides and check them.
AB^2 = (-3-(-7))^2 + (-3-(-2))^2 = 4^2+1^2 = 17
Now find the other two sides (squared) and check that the largest is the sum of the other two.