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) 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.

Question

Fill in the blanks to make the following statements true: (i) In a right triangle the hypotenuse is the &#x2026;&#x2026;.side. (ii) The sum of three altitudes of a triangle is &#x2026;&#x2026; than its perimeter. (iii) The sum of any two sides of a triangle is &#x2026;.. than the third side. (iv) If two angles of a triangle are unequal, then the smaller angle has the &#x2026;. side opposite to it. (v) Difference of any two sides of a triangle is &#x2026;&#x2026;. than the third side. (vi) If two sides of a triangle are unequal, then the larger side has &#x2026;&#x2026;. angle opposite to it.

Philoid · Accepted Answer

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

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

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

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

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

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