A circle of radius 13 cm touches the adjacent sides AB and BC of a square ABCD at M and N, respectively. If AB = 18 cm and the circle intersects the other two sides CD and DA at P and Q, respectively, then the area, in sq. cm, of triangle PMD is___________.
Reveal answer
Correct answer
153Reveal solution
Set up coordinates with B at origin. The circle's center is at . M is at , tangent point on AB. Side AB has length 18, so MD distance from M to D... by computing the intersection P on CD and applying the triangle area formula, area = 153 sq. cm.