Mathematics
In a right angled triangle, five times the square on the hypotenuse is equal to four times the sum of the squares on the medians drawn from the acute angles. Prove it.
Related Questions
In triangle ABC, ∠B = 90° and D is the mid-point of side BC. Prove that : AC2 = AD2 + 3CD2.
In triangle ABC, ∠ABC = 90°, AB = 2a + 1 and BC = 2a2 + 2a. Find AC in terms of 'a'. If a = 8, find the lengths of the sides of the triangle.
In an equilateral triangle ABC, BE is perpendicular to side CA. Prove that :
AB2 + BC2 + CA2 = 4BE2
In a quadrilateral ABCD, ∠B = 90° = ∠D. Prove that :
2AC2 - BC2 = AB2 + AD2 + DC2.