SOLUTION: in triangle XYZ,the length of side XY is twice the length of side XZ and three less than the length of side YZ.if the perimeter of the triangle is 33,what is the length of its side
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Question 210338: in triangle XYZ,the length of side XY is twice the length of side XZ and three less than the length of side YZ.if the perimeter of the triangle is 33,what is the length of its sides? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! in triangle XYZ, the length of side XY is twice the length of side XZ and three
less than the length of side YZ. if the perimeter of the triangle is 33,
what is the length of its sides?
:
"the length of side XY is twice the length of side XZ"
XY = 2(XZ)
OR
XZ = .5(XY)
:
" three less than the length of side YZ."
XY = YZ - 3
or
YZ = XY + 3
:
if the perimeter of the triangle is 33,
XY + XZ + YZ = 33
:
what is the length of its sides?
:
substitute for XZ & YZ
XY +.5(XY) + (XY+3) = 33
2.5(XY) + 3 = 33
2.5(XY) = 33 - 3
2.5(XY) = 30
XY =
XY = 12
:
YZ = XY + 3
YZ = 12 + 3
YZ = 15
:
XZ = .5(XY)
XZ = .5(12)
XZ = 6
;
:
Check solutions:
12 + 15 + 6 = 33
