+0  
 
0
72
1
avatar

Can anyone help with this plz

 

A certain square and a certain equilateral triangle have the same perimeter. The square and triangle are inscribed in circles, as shown below. If A is the area of the square and B is the area of the triangle, then find A/B.

 Apr 26, 2023
 #1
avatar
0

Let the perimeter ==P

Then, the side length of the square==P/4

Then, the side length of triangle ==P / 3

 

Area of the square ==(P / 4)^ ==P^2/ 16

Area of the equilateral triangle==1/2 * (P/3)^2 * sin(60)

 

A / B ==[P^2/16] / [1/2 * P^2/9 * sqrt(3) /2]

A / B =[3 sqrt(3)] / 4

 Apr 26, 2023

5 Online Users

avatar
avatar