SOLUTION: If ABC DEC, what is the value of x? http://contentlaunch.ple.platoweb.com/testImageDB/08/0803baa0aef192f00c83c4617ded1417 x = 8 x = 5 x = 4 x = 1 x = 2

Algebra ->  Triangles -> SOLUTION: If ABC DEC, what is the value of x? http://contentlaunch.ple.platoweb.com/testImageDB/08/0803baa0aef192f00c83c4617ded1417 x = 8 x = 5 x = 4 x = 1 x = 2      Log On


   

Question 974482: If ABC DEC, what is the value of x?
http://contentlaunch.ple.platoweb.com/testImageDB/08/0803baa0aef192f00c83c4617ded1417
x = 8
x = 5
x = 4
x = 1
x = 2
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

from the image we see that you have two congruent right angle triangles; so 4x-1=x%2B2....solve for x
4x-x=1%2B2
3x=3
x=1
check both sides:
from right angle triangle ABC we have
%284x-1%29%5E2=5%5E2-4%5E2
%284x-1%29%5E2=25-16
%284x-1%29%5E2=9
sqrt%28%284x-1%29%5E2%29=sqrt%289%29
4x-1=3
4x=3%2B1
4x=4
x=1
from right angle triangle DEC we have
%28x%2B2%29%5E2=5%5E2-4%5E2
%28x%2B2%29%5E2=25-16
%28x%2B2%29%5E2=9
sqrt%28%28x%2B2%29%5E2%29=sqrt%289%29
x%2B2=3
x=3-2
x=1

so, your answer is:x=1