Triangle ABC is inscribed in a semicircle of diameter 15 (see the figure).(a) If x denotes...

Triangle ABC is inscribed in a semicircle of diameter 15 (see the figure).

(a) If x denotes the length of side AC, express the length y of side BC as a function of x. (Hint: Angle ACB is a right angle.)

(b) Express the area si of triangle ABC as a function of x, and state the domain of this function.

EXERCISE