Q14 of 184 Page 10

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

(- 2, 5), (7, 10), (3, - 4)

Given points are A(- 2, 5), B(7, 10) and C(3, - 4).



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 = 106 + 106


⇒ AB2 + CA2 = 212


⇒


⇒ AB2 + CA2 = BC2


∴ The given points form a right angles isosceles triangle.


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