Evaluate the expression -4x+5y-14 when x=0 and y= 3/5
1 answer:
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First we'll show this is a right triangle by the Pythagorean Theorem:
Since we have a right triangle, by the (converse to the) Pythagorean Theorem. We also see it's isosceles, AB=AC.
That's the end of the homework but I'll go on a bit.
Another way to show perpendicularity, essentially the same as the other two, is by a zero as the dot product of the sides as vectors, differences between vertices.
Vector AB = B - A = (3,2)
Vector AC = C - A = (-2, 3)
AB · AC = 3(-2) + 2(3) = 0
A zero dot product means
AB ⊥ AC