Q14 of 184 Page 10

Determine the type (isosceles, right angled, right angled isosceles, equilateral, scalene) of the following triangles whose vertices are:

(0, 6), (- 5, 3), (3, 1)

Given points are A(0, 6), B(- 5, 3) and C(3, 1).



Let us find the distance between sides AB, BC and CA.


We know that the distance between the points (x1, y1) and (x2, y2) is .


⇒


⇒


⇒


⇒


⇒


⇒


⇒


⇒


⇒


⇒


⇒


⇒


⇒


We got AB = CA


Now,


⇒


⇒


⇒ AB2 + CA2 = 68


⇒


⇒ AB2 + CA2 = BC2


∴ The given points form a right - angled isosceles triangle.


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