SOLUTION: 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 an

Algebra ->  Triangles -> SOLUTION: 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 an      Log On


   

Question 168324This question is from textbook Geometry
: 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? This question is from textbook Geometry

Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
with the givens we know that PQ = PR, because sides opposite congruent angles are equal.
x%2B1=sqrt%28x%2B3%29 now square both sides and we will eliminate the squareroot
%28x%2B1%29%5E2=x%2B3
x%5E2%2B2x%2B2=x%2B3
x%5E2%2Bx-2=0now factor
%28x%2B2%29%28x-1%29=0
so x=1 and -2...throw out the negative value
and x=1 and PR=2