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    Question

    Given are three points A(2, 7), B(4,

    -1), C(- 2, 6) on a plane. What kind of triangle is formed by joining the points A, B, and C?
    A Right Triangle Correct Answer Incorrect Answer
    B Equilateral Triangle Correct Answer Incorrect Answer
    C Isosceles Triangle Correct Answer Incorrect Answer
    D Obtuse Triangle Correct Answer Incorrect Answer

    Solution

    A(2, 7), B(4, -1), C(-2, 6) AB = √ (4 + 64) = √ 68 BC = √ (36 + 49) = √ 85 AC = √ (16+1) = √ 17 We see that AB² + AC² = BC² (follows Pythagoras theorem) ⇒ The triangle is a right triangle at A(2, 7).

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