ABC is triangle in which AB = 3 cm, BC= 5 cm and AC = 4 cm. AD is a perpendicular from A to BC. Find the length of AD.

A trader, while selling an item, was asking for such a price that would enable him to of, a 20% discount and still make a profit of 30% on cost. If the cost of the item was Tk. 50 what was his asking price?

$if x+y=a, x^2+y^2 and x^3+y^3=c^3 then show that a^3+2c^3=3a{b}^2$

Solve the following Problem: 

The average age of a committee of 8 members is 40 years. A member aged 55 years retired and his place was taken by another number aged 39 years. What will be the average age of the present committee?

The ratio of the salary of A, B & C is 7: 5: 3. If B gets Tk. 222 more than what C gets, then what is the salary of A?