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Sum of any two angles of a triangle is always greater than the third angle.

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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.

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NCERT EXEMPLAR-TRIANGLES-EXERCISE TRUE OR FALSE
  1. The difference between the lengths of any two sides of a triangle is s...

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  2. Sum of any two angles of a triangle is always greater than the third a...

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  3. The sum of the measures of three angles of a triangle is greater than ...

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  4. It is possible to have a right-angled equilateral triangle

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  5. State True or False If M is the mid-point of a line segment AB, then...

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  6. It is possible to have a triangle in which two of the angles are right...

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  7. It is possible to have a triangle in which two of the angles are obtus...

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  8. It is possible to have a triangle in which two angles are acute.

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  9. State Whether Statements are True or False : It is possible to have...

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  10. State Whether Statement is True or False : It is possible to have a...

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  11. It is possible to have a triangle in which each angle is equal to 60°.

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  12. A right-angled triangle may have all sides equal.

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  13. A one rupee coin is congruent to a five rupee coin. (True/False)

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  14. Two acute angles are congruent

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  15. Two right angles are congruent

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  16. Two figures are congruent, if they have the same shape.

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  17. If the areas of two squares is same, they are congruent.

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  18. If the areas of two rectangles are same, they are congruent

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  19. If the areas of two circles are the same, they are congruent.

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  20. Two squares having same perimeter are congruent.

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