AP EAMCET · Maths · Straight Lines
The triangle with vertices at \((-2,2),(2,-2)\) and \((1,1)\) is
- A scalene triangle
- B equilateral triangle
- C isosceles triangle
- D right-angled triangle
Answer & Solution
Correct Answer
(C) isosceles triangle
Step-by-step Solution
Detailed explanation
Let \(A(-2,2), B(2,-2)\) and \(C(1,1)\) are the vertices of \(\triangle A B C\). \[ \begin{array}{r} A B=\sqrt{(2+2)^2+(-2-2)^2}=\sqrt{4+4}=4 \sqrt{2} \\ B C=\sqrt{(1-2)^2+(1+2)^2}=\sqrt{1+9}=\sqrt{10} \\ A C=\sqrt{(1+2)^2+(1-2)^2}=\sqrt{9+1}=\sqrt{10} \end{array} \]…
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