A man lent a sum to his friend at the rate of 9 12 % p. a. After 4 years 6 months, his friends paid him Rs. 20000 and clear the debt, what sum did the man lend to his friend?

Prove the converse of the pythagorean theorem using similar triangles. the converse of the pythagorean theorem states that when the sum of the squares of the lengths of the legs of the triangle equals the squares length of the hypotenuse, the triangle is a right triangle. be sure to create and name the appropriate geometric figures.