if the triangles in the ratio 1:2:3: then find the largest traingle
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Correct Question :
- If the angles of the triangle are in the ratio 1:2:3. Find the largest angle.
Given:
- Ratio of angles → 1:2:3
Have to Find :
- Largest Angle.
Solution :
As we know the angle sum property of triangle.
Now, let's consider the angles be " 1x " , " 2x " and " 3x " respectively.
Now, According to the Question
Using angle sum property of the triangle.
Sum of all angles → 180°
1x + 2x + 3x = 180°
6x = 180°
x = 180/6
x → 30°
⠀⠀{x = 30°⠀
Now,
Substituting the values, we get :
- Angle 1 = 1x → 1(30) 30°
- Angle 2 = 2x →2(30) 60°
- Angle 3 = 3x → 3(30) 90°
Hence, Angle 3 { 90° } is the largest Angle .
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