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a)♦ Triangle :
A simple closed figure bounded by three line segments is called a triangle.
- A triangle has three sides, three angles and three vertices.
- The parts of a triangle are 6 ,they are 3 sides and 3 angles.
- The sum of the three interior angles in a triangle is 180°.
- (50°, 60°, 70°)...
- Triangles are classified according to their sides in three types .They are Equilateral, Isosceles and Scalene triangles.
- In Equilateral triangle, all sides are equal and all angles are equal and each measures 60°.
- In Isosceles triangle , Two sides are equal.
- In an Isosceles triangle , the angles opposite to equal sides are equal.
- In an Isosceles triangle,the sides opposite to equal angles are equal.
- In Scalene triangle , No two sides are equal.
- The traingle is classified into three types according to the measures of angles.
- If one angle is 90° then it is a right angled triangle.
- If all angles are acute then it is an acute angled triangle.
- If one angle is obtuse then it is an obtuse angled triangle.
- In a triangle, The side opposite to largest angle is longer.
- In a triangle , The angle opposite to longer sides is larger.
- In a triangle , the side opposite to smallest angle is shorter.
- In a triangle , the angle opposite to shorter side is smaller.
- In a triangle , The sum of any two sides is greater than the third side.
- In a triangle, the difference between any two sides is less than the third side.
- In a triangle , an exterior angle formed by extending any side of a triangle is equal to the sum of the opposite interior angles.
(b)
Median :
The line segment joining the mid point of any side to the opposite vertex is called the median of the triangle.
- We can draw three medians to a traingle.
- The concurrent point of medians is called the Centroid of the triangle.
- The Centroid divides the median in the ratio of 2:1 .
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