The third side of a triangle must be greater than the difference between the other two sides.

True

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False

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Solution

The correct option is A
True

The third side of a triangle must be greater than the difference between the other two sides.

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Similar questions

Question 72

State whether the statement is True or False.

The difference between the lengths of any two sides of a triangle is smaller than the length of third side.

Question 71

State whether the statement is True or False.

Sum of two sides of a triangle is greater than or equal to the third 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.

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.

The third side of a triangle must be greater than the difference between the other two sides.

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The third side of a triangle must be greater than the difference between the other two sides.

The correct option is A True The third side of a triangle must be greater than the difference between the other two sides.

The correct option is A
True

The third side of a triangle must be greater than the difference between the other two sides.