Prove that the figure determined by the points is an isosceles triangle. A(19,-1), B(13,7), C(5,1)

Tabansi 2021-02-09 Answered
Prove that the figure determined by the points is an isosceles triangle. A(19,-1), B(13,7), C(5,1)
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Velsenw
Answered 2021-02-10 Author has 91 answers
Distance between line segment (d)=(x2x1)2+(y2y1)2
Distance between A and B (AB) =(195)2+(11)2
=(14)2+(2)2
=194+4
=200
=14.142
AB=14.142
Distance between A and C (AC) =(1913)2+(17)2
=(6)2+(8)2
=36+64
=100
=10
AC=10
Distance between C and B (AC) =(135)2+(71)2
=(8)2+(6)2
=64+36
=100
=10
CB=10
Since AC=CB=10
Hence ABC is an isosceles triangle.
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