SOLUTION: in the diagram below, line qr is an altitude of triangle npq and line nq perpendicular to line pq. if nr equals 250 and pr equals 10, what is the measure of qr, in simplest radical

Algebra ->  Pythagorean-theorem -> SOLUTION: in the diagram below, line qr is an altitude of triangle npq and line nq perpendicular to line pq. if nr equals 250 and pr equals 10, what is the measure of qr, in simplest radical      Log On


   



Question 1079888: in the diagram below, line qr is an altitude of triangle npq and line nq perpendicular to line pq. if nr equals 250 and pr equals 10, what is the measure of qr, in simplest radical form?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
In a right-angled triangle, the altitude drawn to the hypotenuse is the geometric mean of the lengths of segments 
the altitude divides the hypotenuse.


|QR| = sqrt%28NR%2APR%29 = sqrt%28250%2A10%29 = sqrt%282500%29 = 50 units.