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Important Terms of Triangle

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  • Median : The median of a triangle, corresponding to any side, is the line joining the mid-point of that side with the opposite vertex.

  • Centroid : The point of intersection of the medians is called the centroid of the triangle.

  • Altitude : An altitude of a triangle, corresponding to any side, is the length of the perpendicular drawn from the opposite vertex to that side.

  • Orthocentre : The point of intersection of the altitudes of a triangle is called the orthocentre.

  • Corollary 1 : If one side of a triangle is produced, the exterior angle so formed is greater than each of the interior opposite angles.

  • Corollary 2 : A triangle cannot have more than one right angle.

  • Corollary 3 : A triangle cannot have more than one obtuse angle.

  • Corollary 4 : In a right angled triangle, the sum of the other two angles ( acute angles ) is 90°.

  • Corollary 5 : In every triangle, at least two angles are acute.

  • Corollary 6 : If two angles of a traingle are equal to two angles of any other triangle, each to each, then the third angles of both the triangles are also equal. 
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