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.

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Solution

The correct option is (d).
The difference between the length of any two sides of a triangle is always smaller than the length of the third side.
Hence, statement (d) is not correct.

Suggest Corrections

Similar questions

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.

Fill in the blanks to make the statements true.

(a) In right triangle the hypotenuse is the __________ side.

(b) The sum of three altitudes of a triangle is __________ than its perimeter.

(d) If two angles of a triangle are unequal, then the smaller angle has the __________ side opposite to it.

(e) Difference of any two sides of triangle is __________ than the third side.

(f) If two sides of a triangle are unequal, then the larger side has ___________angle opposite to it.

Fill in the blanks to make the following statements true.

(i) In a right triangle, the hypotenuse is the ___ side.

(ii) The sum of three altitudes of a triangle is ___ than its perimeter.

(iii) The sum of any two sides of a triangle is ___ than the third side.

(iv) If two angles of a triangle are unequal, then the smaller angle has the ___ side opposite to it.

(v) The difference of any two sides of a triangle is ___ than the third side.

(vi) If two sides of a triangle are unequal, then the larger side has ___ angle opposite to it.

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