Answer to Question #132564 in Geometry for Charlie

Question

PQ = 6x + 25 and QR = 16 – 3x; Find PR. 

Answer 1

$PR=\sqrt{(6x+25)²+(16-3x)²-2(6x+25)(16-3x)cos(\angle PQR)}=\sqrt{36x²+300x+625+256-96x+9x²-2(96x-18x²+400-75x)cos(\angle PQR)}=\sqrt{45x²+204x+881-2(21x-18x²+400)cos(\angle PQR)}. Answer: PR=\sqrt{45x²+204x+881+2cos(\angle PQR)(18x²-21x-400)}$