(i) In a right triangle the hypotenuse is the largest side
Reason: Since a triangle can have only one right angle, other two angles must be less than 90°
⇒The right angle is the largest angle
⇒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.