First slide

Cartesian plane

Question

A triangle with vertices $(4, 0), (- 1, - 1)$ $(3, 5),$ is

Easy

A

isosceles and right angled
B

isosceles but not right angled
C

right angled but not isosceles
D

neither right angled nor isosceles

Solution

Let ABC be the triangle with vertices A ( 4, 0), B (-1, -1) and C (3, 5). Then,
$A B = A C = \sqrt{26}$ and $B C = \sqrt{52}$
Clearly, $A B^{2} + A C^{2} = B C^{2}$
Hence, the triangle is right-angled isosceles triangle

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