geometry

[jalshri]

ABC is 4 times that of equilateral triangle PQR, then each side of ABC is how many times the corresponding side of PQR?
ans:2

[nareshchowdary28]

Hi,

We are not really sure what kind of triangle is ABC..? but if you assume that it is also equilateral triangle like PQR below method will surely works.

ABC is 4 times than PQR (definitely it should be area )

so Area of ABC = 4(Area of PQR)

consider ABC side is X and PQR side is Y

1/2 * X*root3 *X/2 = 4(1/2 * Y root3 *Y/2)
--> X^2 = 4Y^2
--> X = Square root (4Y^2) = 2Y
--> X = 2Y

so ABC side is two times of PQR side.

Hope that helps.

[tommywallach]

Great explanation. Let's always try to provide a picture (or a description of one!) for Geometry questions that have a picture (And I assume this one would).

Thanks!

-t