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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!!!!!!

## 2 Answers

9 years ago

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.

9 years ago

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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