SOLUTION: if the ratio of the angles of the triangle is 1:2:3 then what is the ratio of the the sides of the triangle??

Algebra.Com
Question 86757: if the ratio of the angles of the triangle is 1:2:3 then what is the ratio of the the sides of the triangle??
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!
if the ratio of the angles of the triangle is 1:2:3 then what is the ratio of the the sides of the triangle??


The angles of the triangle are x°, 2x°, and 3x°.  
These must have sum 180°, therefore:

   x + 2x + 3x = 180
            6x = 180
             x = 30°

The angles are x° = 30°, 2x° = 60° and 3x° = 90°, 
so the triangle has sides
    _
1, Ö3, and 2.

Edwin
RELATED QUESTIONS

if the ratio of a triangle is 1:2:7 then what will the ratio of longest and shortest... (answered by srinivas.g)
If the angles of a triangle are in the ratio 2:3:7, the triangle... (answered by jim_thompson5910)
If the angles of a triangle are in the ratio of 2:3:5,what kind of triangle is... (answered by checkley77)
Measure of three angles using the ratio 1:2:3 if it is supplementary... (answered by rfer)
If the angles of a triangle are in the ratio 2:3:4, what type of triangle is it? (answered by Don2xmalabag)
The ratio of angles in a triangle is 2:3:5. What is the smallest... (answered by CubeyThePenguin)
angles of a triangle are in the ratio 2:7:3 the triangle... (answered by jim_thompson5910)
the angles of a triangle are in the ratio of 2:3:4; what type of triangle is... (answered by edjones)
if the angle of a triangle are in ratio 2:3:7 then the sides are in ratio... (answered by Alan3354)