MATHEMATICS · Single correct · CBSE · Mathematics · Applications of Derivatives · Applications of Derivatives
Problem
A right triangle has hypotenuse 25 cm. One leg has length x cm and is increasing at 3 cm/s, while the other leg adjusts so that the hypotenuse length remains 25 cm. For what value of x is the area of the triangle neither increasing nor decreasing?
(a) 21.2 cm
(b) 17.7 cm
(c) 12.5 cm
(d) 15.0 cm