The vertices of a triangle are A(-3, 2), B(1, -2) and C(5, 4). Work out the three sides in surd form and classify the triangle.

Question

Accepted Answer

Scalene: the sides 4√2, 2√13 and 2√17 are all different. AB = √(1+3)^2 + (-2-2)^2 = √32 = 4√2 5.66, BC = √(5-1)^2 + (4+2)^2 = √52 = 2√13 7.21 and CA = √(-3-5)^2 + (2-4)^2 = √68 = 2√17 8.25. No two are equal, so the triangle is scalene. It is not right-angled either: AB^2 + BC^2 = 32 + 52 = 84, which is not CA^2 = 68.

The vertices of a triangle are A(-3, 2), B(1, -2) and C(5, 4). Work out the three sides in surd form and classify the triangle.

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