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The sum of any two sides of a triangle i...

The sum of any two sides of a triangle is greater than third side.

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Property The sum of any two sides of a triangle is greater than the third side.

Theorem 7.8 : The sum of any two sides of a triangle is greater than the third side.

Knowledge Check

  • Which of the following is false? (A) The sum of any two sides of a triangle is equal to the third side. (B) The sum of the exterior angles of a triangle is equal to 360^(@)

    A
    A and B
    B
    Only A
    C
    Only B
    D
    None of these
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    Which of the following sentences are statements? In case of a statement mention whether it is true or false. (i) The sun is a star. (ii) sqrt(7) is an irrational number. (iii) The sum of 5 and 6 is less than 10. (iv) Go to your class. (v) Ice is always cold. (vi) Have you ever seen the Red Fort? (vii) Every relation is a function. (viii) The sum of any two sides of a triangle is always greater than the third side. (ix) May God bless you!

    Prove that sum of any two sides of a triangle is greater than twice the median with respect to the third side.

    Which of the following statements are true (T) and which are false (F)? Sum of the three sides of a triangle is less than the sum of its three altitudes. Sum of any two sides of a triangle is greater than twice the median drawn to the third side. Sum of any two sides of a triangle is greater than the third side. Difference of any two sides of a triangle is equal to the third side. If two angles of a triangle are unequal, then the greater angle has the larger side opposite to it. Of all the line segments that can be drawn from a point to a line not containing it, the perpendicular line segment is the shortest one.

    Prove that sum of any two sides of a triagle is greater than twice the median with respect to the third side.