M is the midpoint of PQ and N is the midpoint of PR, and O is the intersection of QN and RM, as shown. If QN is perpendicular PR, QN = 12, and PR = 14, then find OR.

 OR = √65

Step-by-step explanation:

M and N are the midpoints of their respective sides, so O is the centroid of the triangle. That means ...

  ON = QN/3 = 12/3 = 4

By the Pythagorean theorem, ...

  OR² = NR² +ON²

  OR² = 7² +4² = 65

  OR = √65

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

happy to

pls mark as brainliest