If the base angles of triangle are `(22)/(12)a n d112 1/2^0` , then prove that the altitude of the triangle is equal to `1/2` of its base.

If the base angles of triangle are ((22)/(12))^@ and (112 1/2)^@ , then prove that the altitude of the triangle is equal to 1/2 of its base.

If the bisectors of the base angles of a triangle enclose an angle of 135^0, prove that the triangle is a right triangle.

If the bisectors of the base angles of a triangle enclose an angle of 135^0, prove that the triangle is a right triangle.

The product of the arithmetic mean of the lengths of the sides of a triangle and harmonic mean of the lengths of the altitudes of the triangle is equal to: a. 1 b. 2 c. 3 d. 4

The sides of a triangle are x^2+x+1,2x+1,a n dx^2-1 . Prove that the greatest angle is 120^0dot

Statement- 1: If the sines of the angles of a triangle are in A.P., then the altitudes ef the triangle are also in A.P. Statement-2: Twice the area of a triangle is equal to the product of the lengths of a side and the altitude on it.

If a triangle and a parallelogram are on the same base and between the same parallels, then prove that the area of the triangle is equal to half the area of the parallelogram.

If the base of an isosceles triangle is produced on both sides, prove that the exterior angles so formed are equal to each other.

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)

Find the altitude of a triangle whose area is 42 c m^2 and base is 12 cm.