Fill in the blanks with < or >.

(a) (Sum of any two sides of a triangle)_(the third side).

(b) (Difference of any two sides of a triangle)_(the third side).

(c) (Sum of three altitudes of a triangle)_(sum of its three sides).

(d) (Sum of any two sides of a triangle)_(twice the median to the 3rd side).

(e) (Perimeter of a triangle)___(sum of its three medians).

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Solution

a) Sum of any two sides of a triangle > the third side
b) Difference of any two sides of a triangle < the third side
c) Sum of three altitudes of a triangle < sum of its three side
d) Sum of any two sides of a triangle > twice the median to the 3rd side
e) Perimeter of a triangle > sum of its three medians

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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 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.

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.

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