A geometry problem by karandeep singh ludhar
Geometry
Level
2
In a right triangle with angles 30 , 60 and 90 [in degrees ] the ratio of the sides opposite to these angles is __
1 : \sqrt(3) : \sqrt(2)
3 : 2 : 1
1 : 2 : 3
1 : \sqrt(3) : 2
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
We know that the sides of a 30,60,90 triangle are all in reference to a constant a. Where the side opposite the 30 degree angle is length a, the side opposite the 60 degree angle is length a times the square root of 3, and the side opposite the 90 degree angle is length 2a. If you suppose a equals 1 then you get the ratio, 1:squareroot3:2