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Question

# If coordinates of the triangle are A(-2,4), B(2,4) and C(-2,1), then the triangle is ______________.

A

isosceles triangle

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B

right angled triangle

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C

scalene triangle

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D

equilateral triangle

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Solution

## The correct option is B right angled triangle In the given question, we need to find the shape of the polygon formed. By finding the length of the sides we will be able to find the property of the particular triangle. Distance between AB = √(x2−x1)2+(y2−y1)2 = √(2−(−2))2+(4−4)2 = √(4)2+0 = 4 units Distance between BC = √(x2−x3)2+(y2−y3)2 = √(2−(−2))2+(4−1)2 = 5 units Distance between AC = √(x3−x1)2+(y3−y1)2 = √((−2)−(−2))2+(1−4)2 = 3 units Here, AB2 + AC2 = BC2 i.e. 42 + 32 = 52 Therefore, it forms a right angled triangle.

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