Fan&Medal... Can someone check my answer? Determine if triangle ABC with coordinates A (−1, 1), B (1, −1), and C (3, 3) is an isosceles triangle. Use evidence to support your claim. If it is not an isosceles triangle, what changes can be made to make it isosceles? Be specific.
You can use the distance formula to find out the lengths of all three sides. If two of the sides are the same, the triangle will be an isosceles. AC d=(x2-x1)^2 +(y2-y1)^2 d=(3+1)^2+(3-1)^2 d=(4)^2+(2)^2 d=(16)+(4)=sqrt20 ----------------------- AB d=(1+1)^2 + (-1-1)^2 d=(2)^2+(-2)^2 d=(4)+(4)=sqrt8 ----------------------- BC d=(3-1)^2+(3+1)^2 d=(2)^2+(4)^2 d=(4)+(16)=sqrt20 So yes, this triangle is an isosceles triangle because two of the sides equal 20.
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