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If the angle of triangles are in the ratio 2:3:7, then the sides are in ratio of?
PLS EXPLAIN!!!!!!
the ratio of the angles are given, therefore by using the fact that sum of three angles is 180 deg, you will get the 3 angles of the triangle which are 30deg,45deg,105deg. find the sine of these angles and then simply use sine rule.
Let a,b,c be the sides and A,B,C be the angles of a triangle
Given A:B:C =2:3:7
A=2x ; B=3x ; C=7x ;
A+B+C =180 or
2x+3x+7x =180
then x=15
or
A=30° ; B=45° ; C=105° ;
By sine rule
a:b:c = sineA : sineB : sineC
a:b:c = sine30 : sine45 : sine(60+45)
=1/2 : 1/√2 : ( √3/2√2 + 1/2√2 )
hence a : b : c = √2 : 2 : (√3 + 1)
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