Answer :
Answer:
The answer is B and Isosceles Triangle.
Step-by-step explanation:
Answer:
ABC is an isosceles triangle.
Step-by-step explanation:
Given,
The triangle ABC has vertices at A(2 , 2), B(4, 7), and C(6, 2).
By the distance formula,
[tex]AB=\sqrt{(4-2)^2+(7-2)^2}[/tex]
[tex]=\sqrt{2^2+5^2}[/tex]
[tex]=\sqrt{4+25}[/tex]
[tex]=\sqrt{29}\text{ units}[/tex]
[tex]BC=\sqrt{(6-4)^2+(2-7)^2}[/tex]
[tex]=\sqrt{2^2+(-5)^2}[/tex]
[tex]=\sqrt{4+25}=\sqrt{29}\text{ units}[/tex]
[tex]CA=\sqrt{(2-6)^2+(2-2)^2}[/tex]
[tex]=\sqrt{(-4)^2}=\sqrt{16}=4\text{ units}[/tex]
Since, AB = BC ≠ CA
⇒ ABC is not an equilateral triangle,
AB = BC ⇒ ABC is an isosceles triangle.
⇒ ABC is not a scalene triangle.
AB² + BC² ≠ CA² or AB² + CA² ≠ BC² or CA² + BC² ≠ AB²
⇒ ABC is not a right triangle,