if angles are in the ratio 1:2:3 then find the ratio of its sides
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if angles are in the ratio 1:2:3 then find the ratio of its sides
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Answer:
Let the angles of a triangle are x° ,2x°. 3x°.acordingly:-
x°+2x° +3x°=180°
6x°=180°
or. x=30°
Angles are 30° , 60°. and. 90°.
Let a. , b and c units be the length of the sides of the triangle. Applying
sine rule
a/sin30° = b /sin60° = c/sin90°
2.a/1= 2b/√3. = c/1
a= c/2 , b= (c.√3)/2.
a : b : c = c/2. : c√3/2. : c. = 1/2. : √3/2 : 1. or 1 : √3. : 2. Answer.