Mathematics
In an equilateral triangle ABC, BE is perpendicular to side CA. Prove that :
AB2 + BC2 + CA2 = 4BE2
Related Questions
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 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.
In a quadrilateral ABCD, ∠B = 90° = ∠D. Prove that :
2AC2 - BC2 = AB2 + AD2 + DC2.
The ratio between the number of sides of two regular polygons is 3 : 4 and ratio between the sum of their interior angles is 2 : 3. Find the number of sides in each polygon.