Question

the angle of traiangle are in thr ratio 1:2:3 then the smaalest angle of traingle is ​

Answer 1

Answer:

By inspection of the ratio of angles, that's, 1:2:3, we can conclude, it is a right angle.

(30°,60°,90°).

It is a special right triangle. One set square in the geometry box is made of those angles. It's sides are in the ratio of 1:√3:2. Notice the hypotenuse is double the shortest leg. The longer leg is √3 of the shortest leg. If the measurement of one of it's side is known, the lengths of other sides can be calculated from the ratio. Normally, in the same set square, there is a smaller triangle, a cut out portion. They both are similar triangles; as equiangular triangles AAA. All 1:2:3 triangles are similar triangles.

Algebraically, x+2x+3x = 180°; 6=180°; so, x = 30°.

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Answer 2

Step-by-step explanation:

Let the number multiplied by x

so , x , 2x , 3x

We know that

sum of angles of triangle= 180°

Hence ,

x+2x+3x = 180°

6x =180°

x=180°/6

x = 30°

Values of the angles = x= 30°

2x=2×30=60°

3x=3×30=90°

Angles of triangle are 30°, 60°, 90°

Answer = The smallest angles is 30°