First slide

Cartesian plane

Question

On vertex of an equilateral triangle is (2,2) and its centroid is $(- \frac{2}{\sqrt{3}}, \frac{2}{\sqrt{3}})$ . The length of its side is

Moderate

A

$4 \sqrt{2}$
B

$4 \sqrt{3}$
C

$3 \sqrt{2}$
D

$5 \sqrt{2}$

Solution

Given are centroid $G (- \frac{2}{\sqrt{3}}, \frac{2}{\sqrt{3}})$ and one vertex $A (2, 2)$ .
$∴$ Lenght of side of of triangle
$= \sqrt{3} GA$
$= \sqrt{3} \sqrt{{(- \frac{2}{\sqrt{3}} - 2)}^{2} + {(\frac{2}{\sqrt{3}} - 2)}^{2}}$
$2 \sqrt{{(1 + \sqrt{3})}^{2} + {(1 - \sqrt{3})}^{2}} = 2 \sqrt{8} = 4 \sqrt{2}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App