(Numbers indicate the lengths of the sides of the triangles) If the area of \(\bigtriangleup\) PQR is k2sq. units what is the area of the shades portion?
A. \(\frac{5}{9}\)k2 sq. units B. \(\frac{1}{3}\)k2 sq. units C. \(\frac{8}{9}\)k2 sq. units D. \(\frac{7}{9}\)k2 sq. units E. \(\frac{2}{3}\)k2 sq. u
Correct Answer: A
Explanation
Area of shaded portion = Area of triangle PQR - Area of inner triangle
Area of triangle given 3 sides a, b, c = \(\sqrt{s(s - a)(s - b)(s - c)}\)