Asked by Lauren
Find the measures of the sides of ∆ABC and classify the triangle by its sides.
A(3,-3), B(1,4), C(-1,-1)
A(3,-3), B(1,4), C(-1,-1)
Answers
Answered by
Steve
use the distance formula for each side. For example,
AB = √((1-3)^2+(4+3)^2) = √53
and so on.
Now, if the sides in order of length are a,b,c then if
c^2 = a^2+b^2 then you have a right triangle
if less, then acute
if more, then obtuse.
If all sides are different, then it is scalene
If two sides are equal, the it is isosceles
If three sides are equal, then it is equilateral
AB = √((1-3)^2+(4+3)^2) = √53
and so on.
Now, if the sides in order of length are a,b,c then if
c^2 = a^2+b^2 then you have a right triangle
if less, then acute
if more, then obtuse.
If all sides are different, then it is scalene
If two sides are equal, the it is isosceles
If three sides are equal, then it is equilateral
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