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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:

A. Yes, because AB = BC.

B. Yes, because AC = BC.

C. No, because AC is longer than AB.

D. No, because ABC doesn't have a pair of sides with equal lengths.

Triangle ABC has the following vertices A72 B18 C50 Is triangle ABC an isosceles triangle and why Choose 1 answer A Yes because AB BC B Yes because AC BC C No b class=

Respuesta :

Answer: I just did this it’s “yes, because AB=BC” I believe sorry if it’s wrong

Step-by-step explanation: you can go on a app and put the points so it can graph 4 u

An isosceles triangle is a triangle whose two sides are of equal length. Triangle ABC is an isosceles triangle because of AB= BC.

What is an Isosceles triangle?

An isosceles triangle is a triangle whose two sides are of equal length while the third side is of different length.


For the triangle to be an isosceles triangle, we need to find the length of each side of the triangle. Therefore, the length will be,

[tex]AB = \sqrt{(-1-7)^2+(-8-(-2))^2} = \sqrt{(-8)^2+(-6)^2} = 10[/tex]

[tex]BC = \sqrt{(5-(-1))^2+(0-(-8))^2} = \sqrt{(6)^2+(8)^2} = 10[/tex]

[tex]AC = \sqrt{(5-7)^2+(0-(-2))^2} = \sqrt{(-2)^2+(2)^2} = 2\sqrt2[/tex]

Since for a triangle to be an isosceles triangle, it is needed that the two sides of the triangle must be equal while the third side should have different lengths, and as in the given triangle the length of AB=BC. It is an isosceles triangle.

Hence, triangle ABC is an isosceles triangle because of AB= BC.

Learn  more about isosceles triangles:

https://brainly.com/question/27190025

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