Given the base of a triangle, the opposite angle A, and the product `k^2` of the other two sides, show that it is not possible for `a` to be less than `2ksinA/2`

Given the base of a triangle, the opposite angle A, and the product k^(2) of other two sides, show that it is not possible for a to be less than 2k "sin" (A)/(2)

To construct a triangle, given its base, a base angle and sum of other two sides.

To construct a triangle given its base, a base angle and the difference of the other two sides.

If one angle of a triangle is greater than the sum of the other two, show that the triangle is obtuse angled.

If the base of a triangle and the ratio of the lengths of the other two unequal sides are given, then the vertex lies on

If each angle of a triangle is less than the sum of the other two, show that the triangle is acute angled.

If each angle of a triangle is less than the sum of the other two, show that the triangle is acute angled.

If each angle of a triangle is less than the sum of the other two, show that the triangle is acute angled.

If in a triangle of base 'a', the ratio of the other two sides is r ( <1).Show that the altitude of the triangle is less than or equal to (ar)/(1-r^2)

Prove that in a triangle, if the square of one side is equal to the sum of the squares of the other two sides, then the angles opposite to the first side is a right angle.