In triangle PQR, let M be the midpoint of QR, let N be the midpoint of PR, and let O be the intersection of QN and RM, as shown. If QN perp PR, QN = 12, and PR = 14, then find the area of triangle PQR.
+2666 Because a side is perpendicular to a median, the triangle is isosceles.
Because \(PR = 14\), and \(QN = 12\), the area of the triangle is \(12 \times 14 \div 2 = \color{brown}\boxed{84}\)
Note that PR is a base and QN is the height.
