Question

the measures of three angles of a triangle are in the ratio 1:2:3. then, the triangle is:

Answer 1

Ratio of angles = 1 : 2 : 3.

Let angle be x, 2x and 3x respec.

Now,

x + 2x + 3x = 180 degree

6x = 180 degree.

x = 30degree.

The angles are

x = 30°

2x = 60°

3x = 90°

Since one angle is 90 therefore it is right angled triangle.

Answer 2

let the number 1 : 2 : 3 is should be like,
1x + 2x + 3x = 180°
6x = 180°
x = 180°/ 6
x = 30°
Now take the sides :
1x = 1 * 30 = 30°
2x = 2 * 30 = 60°
3x = 3 * 30 = 90°
The three sides of the triangle are 30°, 60°, 90° .


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