The angles of the traiangle are in the ratio 6 : 7: 2 . Find the angles of the triangle .
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Let the sides of the triangle be 6x , 7x and 2x. Then,
We know that the sum of the measures of a triangle is always equal to 180°.
6x + 7x + 2x = 180
=> 15x = 180
=> x = 180/15
=> x = 12
Hence , 1st angle = 6 × 12 = 72°
2nd angle = 7 × 12° = 84°
3rd angle = 2 × 12° = 24°.
Thanks
Let the sides of the triangle be 6x , 7x and 2x. Then,
We know that the sum of the measures of a triangle is always equal to 180°.
6x + 7x + 2x = 180
=> 15x = 180
=> x = 180/15
=> x = 12
Hence , 1st angle = 6 × 12 = 72°
2nd angle = 7 × 12° = 84°
3rd angle = 2 × 12° = 24°.
Thanks
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