document.write( "Question 168324This question is from textbook Geometry
\n" ); document.write( ": I have triangle PQR. It is an isosceles triangle. Angles R and Q are congruent. Measure of segment PQ is the square root of x+3. Measure of segment PR is x+1. What does x equal and what is the measurement of PR? \n" ); document.write( "
Algebra.Com's Answer #124056 by Mathtut(3670)\"\" \"About 
You can put this solution on YOUR website!
with the givens we know that PQ = PR, because sides opposite congruent angles are equal.\r
\n" ); document.write( "\n" ); document.write( "\"x%2B1=sqrt%28x%2B3%29\" now square both sides and we will eliminate the squareroot\r
\n" ); document.write( "\n" ); document.write( "\"%28x%2B1%29%5E2=x%2B3\"
\n" ); document.write( "\"x%5E2%2B2x%2B2=x%2B3\"
\n" ); document.write( "\"x%5E2%2Bx-2=0\"now factor\r
\n" ); document.write( "\n" ); document.write( "\"%28x%2B2%29%28x-1%29=0\"\r
\n" ); document.write( "\n" ); document.write( "so x=1 and -2...throw out the negative value\r
\n" ); document.write( "\n" ); document.write( "and x=1 and PR=2
\n" ); document.write( "
\n" );