SOLUTION: Triangle PQR is congruent to triangle STV __ PQ= x^2 __ SV= 6 __ ST= x+6 __ TV= 3-x Find the value of x and the perimeter of Triangle PQR

Algebra ->  Triangles -> SOLUTION: Triangle PQR is congruent to triangle STV __ PQ= x^2 __ SV= 6 __ ST= x+6 __ TV= 3-x Find the value of x and the perimeter of Triangle PQR      Log On


   

Question 809400: Triangle PQR is congruent to triangle STV
__
PQ= x^2
__
SV= 6
__
ST= x+6
__
TV= 3-x
Find the value of x and the perimeter of Triangle PQR
Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
Draw a diagram of the 2 triangles which are congruent (equal) and put the numbers on the appropriate lines.
Note that PQ=ST
x^2=x+6
x^2-x-6=0
(x-3)(x+2)=0
.
x=3
x+6=9
3-x=0 NO!
.
x=-2
x+6=4
3+2=5
6
.
P=4+5+6=15
.
Ed