The triangle formed by joining the points A(-2 , 2), B (4 , 2) and C(1 , 6) is .

isosceles

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right angled

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scalene

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Solution

The correct option is A isosceles
The distance between two points $(x_{1}, y_{1}) and (x_{2}, y_{2})$ is given by $\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}} .$

$AB = \sqrt{(4 - (- 2))^{2} + (2 - 2)^{2}} = 6 units$
$BC = \sqrt{(4 - 1)^{2} + (2 - 6)^{2}} = 5 units$
$CA = \sqrt{(- 2 - 1)^{2} + (2 - 6)^{2}} = 5 units$

Since BC = AC, $Δ A B C$ is an isosceles triangle.

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The triangle formed by joining the points A(-2 , 2), B (4 , 2) and C(1 , 6) is .

The correct option is A isoscelesThe distance between two points (x1,y1) and (x2,y2) is given by √(x2−x1)2+(y2−y1)2. AB=√(4−(−2))2+(2−2)2=6 units BC=√(4−1)2+(2−6)2=5 units CA=√(−2−1)2+(2−6)2=5 units Since BC = AC, Δ ABC is an isosceles triangle.