Question

# The points A(0, 6), B(-5, 3) and C(3, 1) are the vertices of a triangle which is _______. equilateral isosceles scalene right angled

Solution

## The correct option is B isosceles Distance between two points P(x1,y1) and Q(x2,y2) is given by: Distance = √(x2−x1)2+(y2−y1)2  Using distance formula, find the length of all the three sides with vertices A(0, 6), B(-5, 3), C(3, 1). AB2=(−5−0)2+(3−6)2        =(52+32)=34BC2=(3−(−5))2+(1−3)2        ={(−8)2+22}=68AC2=(1−6)2+(3−0)2        =(−3)2+(5)2=34 AB2=AC2 ∴ AB=AC. Hence, ΔABC is isosceles.

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