SOLUTION: The ΔPQR is right-angled at P, and PN is an altitude. If QN = 12 in and NR = 6 in, find PN, PQ, PR.

Algebra ->  Pythagorean-theorem -> SOLUTION: The ΔPQR is right-angled at P, and PN is an altitude. If QN = 12 in and NR = 6 in, find PN, PQ, PR.       Log On


   

Question 1131253: The ΔPQR is right-angled at P, and PN is an altitude. If QN = 12 in and NR = 6 in, find PN, PQ, PR.
Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
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Then  PN = sqrt%28abs%28NR%29+%2A+abs%28QN%29%29 = sqrt%2812%2A6%29 = sqrt%2872%29 = 6%2Asqrt%282%29;


      PR = sqrt%28abs%28PN%29%5E2+%2B+abs%28NR%29%5E2%29 = sqrt%2872+%2B+6%5E2%29 = sqrt%2872+%2B+36%29 = sqrt%28108%29 = 6%2Asqrt%283%29;


      PQ = sqrt%28abs%28PN%29%5E2+%2B+abs%28QN%29%5E2%29 = sqrt%2872+%2B+12%5E2%29 = sqrt%2872+%2B+144%29 = sqrt%28216%29 = 6%2Asqrt%286%29.