Question

Triangle ABC has the following vertices: A(7,-2),B(−1,−8).C(5,0) Is triangle ABC an isosceles triangle, and why?Choose 1 answer: (Choice A) A Yes, because AB=BC, (Choice B) B Yes, because AC=BC \\AC=BC(Choice C) C No, because AC is longer AB , (Choice D)No, because triangle ABC doesn't have a pair of sides with equal lengths.

Answer 1

Answer:

yes, because AB= BC

Step-by-step explanation:

AB=√(7+1)²+(-2+8)²=√64+36=√100=10

BC=√(5+1)²+(0+8)²=√36+64=√100=10

AC=√(7-5)²+(-2-0)²=√4+4=2√2

AB=BC=10

thus it is an isosceles triangle

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