The angles of a triangle are in the ratio of 3:5:10. find the angles.
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Answer:
- The first required angle = 50°
- The second required angle = 30°
- The third required angle = 100°
Given:
- The angles of a triangle are in the ratio of 3:5:10.
Need to find:
- The first required angle = ?
- The second required angle = ?
- The third required angle = ?
Solution:
Let,
- The first required angle be 5y°.
- The second required angle be 3y°.
- The third required angle be 10y°.
As we know that:
- Sum of all angles of triangle is equal to 180 degree.
★ Now, ATQ:
➦ 5y + 3y + 10y = 180
➦ 8y + 10y = 180
➦ 18y = 180
➦ y = 180/18
➦ y = 10
Therefore:
- The first required angle = 5 × 10
- The first required angle = 50°
- The second required angle = 3 × 10
- The second required angle = 30°
- The third required angle = 10 × 10
- The third required angle = 100°
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