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For the triangle A(1, 1), B(7, 1), C(4, 5), which statement is true?

Class 9Figures on the Coordinate PlaneCoordinate Geometry
  • ACA = CB = 5, so it is isosceles
  • BCA = 4 and CB = 3
  • CIt is equilateral
  • DIt is right-angled at C

Step-by-Step Solution

From A to C: 3 across and 4 up, so CA = √. From B to C: 3 across and 4 up, so CB = 5. AB = 6, so the triangle is isosceles but not equilateral. Since ≠ , it is not right-angled at C.
Answer: A) CA = CB = 5, so it is isosceles

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