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If the angle of triangles are in the ratio 2:3:7, then the sides are in ratio of?
2x+3x+7x=180
angles are 30,45,105.
by sine formula a/sina=b/sinb=c/sinc
putting the values of angles we can find the ratio of sides
If the angles of the triangle are in ratio 2:3:7 then assume them to be x
then 2x+3x+7x=180(Angle sum prop. of triagle)
12x=180 , x=15
then the individual angles will be 30,45,105
Now using Sine rule (Valid for all triangles)
Sin A/a = Sin B/b =Sin C/c (where a, b, c are the respective sides of the triangle)
Sin 30/a = Sin 45/b =Sin 105/c
=2a = root(2)b = ((3)1/2+1)/2(2)1/2 c
if 2a= root(2)b ==> b= root(2)a
if 2a = ((3)1/2+1)/2(2)1/2 c ==> c= 4(2)1/2 a/((3)1/2+1)
then the ration of the sides 1: root(2) : 4(2)1/2 /((3)1/2+1)
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