if the angle of a triangle are in the ratio 2:3:4 betermine all the angles of a triangle
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Answer:
Hello mate.
Let 'x' be used
2x + 3x + 4x = 180
9x = 180
x = 20
2x = 2× 20 =40
3x = 3× 20 = 60
4x = 4× 20 = 80
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Question
- if the angle of a triangle are in the ratio 2:3:4 determine all the angles of a triangle
Given
- Ratio of the all angles of ∆ is 2 : 3 : 4
Solution
- Sum of all three angles of triangles is 180°
Let,
- The angles be 2x , 3x and 4x
→ 2x + 3x + 4x = 180°
→ 9x = 180°
→ x = 180°/9
→ x = 20°
Now,
- Substituting the value of x in ratios
First angle 2x = 2×20 = 40°
Second angles 3x = 3×20 = 60°
Third angles 4x = 4×20 = 80°
Verification
- Sum of all angles = 180°
→ 40 + 60 + 80 = 180
→ 100 + 80 = 180
→ 180 = 180
Hence
- Verified
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