Q14 of 184 Page 10

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

(4, 4), (3, 5), (- 1, - 1)

Given points are A(4, 4), B(3, 5) and C(- 1, - 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 .


⇒


⇒


⇒


⇒


⇒


⇒


⇒


⇒


⇒


⇒


⇒


⇒


⇒


Now,


⇒


⇒ AB2 + CA2 = 2 + 50


⇒ AB2 + CA2 = 52


⇒


⇒ AB2 + CA2 = BC2


∴ The given points form a right - angled triangle.


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