Sum of any two sides of a triangle is always - third side in a triangle-Greater than-Less than-Equal to-Cannot be determined-

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Standard IX

Mathematics

Triangle Inequality

Sum of any tw...

Question

Sum of any two sides of a triangle is always __________ third side in a triangle.

Less than

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Equal to

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Greater than

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Cannot be determined

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Solution

The correct option is C
Greater than

Sum of any two sides of a triangle is always greater than the third side in a triangle. Otherwise, a triangle can not be formed.

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Similar questions

Q. The sum of any two sides of a triangle is always

(a) equal to the third side
(b) less than the third side
(c) greater than or equal to the 3rd side
(d) greater than the 3rd side

Which of the following statements are not correct?

a) The sum of any two sides of a triangle is greater than the third side.
b) A triangle can have all its angles acute.
c) A right-angled triangle cannot be equilateral.
d) The difference of any two sides of a triangle is greater than the third side.

Justify the following statements with reasons:

(a) The sum of three sides of a triangle is more than the sum of its altitudes.

(b) The sum of any two sides of a triangle is greater than twice the median drawn to the third side.

Q. 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.

In a triangle, difference of any two sides of a triangle is always less than the third side. State True/False

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Sum of any two sides of a triangle is always __________ third side in a triangle.

The correct option is C Greater than Sum of any two sides of a triangle is always greater than the third side in a triangle. Otherwise, a triangle can not be formed.

The correct option is C
Greater than

Sum of any two sides of a triangle is always greater than the third side in a triangle. Otherwise, a triangle can not be formed.