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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. |
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Answer» 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. |
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