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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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