Question

the angles of a triangle are in the ratio 1:2:3 then find the ratio of the corresponding sides​

Answer 1

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Answer 2

Answer:

If in triangle the angles are in the ratio as 1:2:3 , prove that the corresponding sides are 1:√3:2.

If the angles are in the ratio 1 : 2 : 3, then

the angles of the triangle are 30º, 60º, 90º.

Therefore, the triangle is a right angled triangle. The side ratios opposite to the angles 30º, 60º

and 90º is BC : AB : AC,

i.e., AC sin 30º; AC sin 60º : AC, i.e., −12−12 x AC : 3√232 x AC : AC i.e., 1: √3.

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