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