First slide

Cartesian plane

Question

The triangle formed by $P (- 2, 3), Q (3, - 2) and R (0, 0)$ is

Moderate

A

an equilateral
B

an isosceles
C

a right angled
D

scalene

Solution

$P Q = \sqrt{25 + 25} = 5 \sqrt{2}$
$R Q = \sqrt{9 + 4} = \sqrt{13}$

$P R = \sqrt{4 + 9} = \sqrt{13}$

Hence $Δ P Q R$ is an isosceles.

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