Question #293929

a. The points 𝐴,𝐵 and 𝐶 have co-ordinates (−1,2),(1,1) and (2,3) respectively. Sketch the triangle 𝐴𝐵𝐶. By calculating the lengths of the sides of this triangle, determine if it is scalene, isosceles, or equilateral.


1
Expert's answer
2022-02-07T12:11:16-0500
AB=(1(1))2+(12)2=5AB=\sqrt{(1-(-1))^2+(1-2)^2}=\sqrt{5}

BC=(21)2+(31)2=5BC=\sqrt{(2-1)^2+(3-1)^2}=\sqrt{5}

AC=(2(1))2+(32)2=10AC=\sqrt{(2-(-1))^2+(3-2)^2}=\sqrt{10}

The triangle ABC is isosceles.


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