One leg of a right triangle is increasing at a constant rate of

MATHEMATICS · Subjective · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

One leg

x

of a right triangle is increasing at a constant rate of

1\text{ cm/s}

, while the hypotenuse remains fixed at

10\text{ cm}

. Let

A

be the area of the triangle as a function of time. Determine the value of

x

(in cm) at the instant when the area is neither increasing nor decreasing.