ABC is a triangle with sides AB = 10, BC = 8, and CA = 7 units. D and E are the feet of the altitudes form the vertices A and B to the respective opposite sides. What is the ratio of the length of CD to that of CE?
Correct Answer : A
The currencies in countries X and Y are denoted by Xs. and Ys. respectively. The exchange rate in 1990 was 1 Xs. = 0.6 Ys. The price level in 2006 in X and Y are 150 and 400 respectively with 1990 as a base of 100. The exchange rate in 2006, based solely on this purchasing power parity consideration, is 1 Xs.=
Arihant purchased two triangular plots, each of which had exactly two sides of length 100 m. Find the maximum possible difference of the perimeters of the two plots, if it is known that neither of the two plots is less than 4800 sq.m in area.
In the triangle ABC, E and D are points on AB while F is a point on AC. It is known that BC = BD, ED = DC, EC= EA and DF is perpendicular to AC. If FC = 3 cm and ∠B = 20°, what is the length of DC?