Question

The ratio of angles in a traingles is 1:2:3 then the traingle is

Answer 1

Answer:

Step-by-step explanation:

Let the sides of triangle be 1x, 2x and 3x.

Sum of all angles = 180°

1x + 2x + 3x =180°

6x =180°

x =30°

So, sides of triangle are 1(30), 2(30) and 3(30)= 30° , 60° and 90°.

Answer 2

Answer: it is a right angled triangle

Step-by-step explanation:

Given ::- the ratio of angles of a triangle are 1:2:3

To find : type of the triangle

Solution ::-

Let the common multiple be x

So So, the ∠A be x ; ∠B be 2x ; ∠C be 3x

Now,

          ∠A + ∠B + ∠C = 180 ..................   A.S.P. Of the triangle

                  x  + 2x + 3x = 180 ...............  putting the values of the angles

   

                                6x = 180

   

                                  x = 180/6

                                  x = 30

Now,

          ∠A = x = 30°

         ∠B = 2x = 2 x 30 = 60°

         ∠C = 3x = 3 x 30 = 90°

      ∴ It is a 30 - 60 - 90 triangle

          It is a right angle triangle.

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