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.

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

(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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Solution

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

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

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

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

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

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

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Similar questions

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 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).

(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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