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.

Sum of the three sides of a triangle is less than the sum of its three altitudes.

Which of the following statements are true (T) and which are false (F)? (i) Sum of the three sides of a triangle is less than the sum of its three altitudes. (ii) Sum of any two sides of a triangle is greater than twice the median drawn to the third side. (iii) Sum of any two sides of a triangle is greater than the third side. (iv) Difference of any two sides of a triangle is equal to the third side. (v) If two angles of a triangle are unequal, then the greater angle has the larger side opposite to it. (vi) 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 the sum of any two sides of a triangle is greater than twice the median drawn to the third side.

Difference of any two sides of a triangle is less than to the third side.

Sum of any two sides of a triangle is greater than the third side.

Sum of any two sides of a triangle is greater than the third side.

Sum of any two sides of a triangle is not less than the third side

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.

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