+0  
 
0
127
1
avatar

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.

 Feb 8, 2023
 #1
avatar+2667 
+1

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.

 Feb 8, 2023

1 Online Users

avatar