SOLUTION: 1.VIOS is a trapezoid with median line AC. a. If VA= 5, find VI. b. if IO= 10 and VS= 15, Find AC. c. If AC= 20, IO= x+3, VS= 3x+5, Find IO. pls answer it with solution and if

Algebra ->  Customizable Word Problem Solvers  -> Geometry -> SOLUTION: 1.VIOS is a trapezoid with median line AC. a. If VA= 5, find VI. b. if IO= 10 and VS= 15, Find AC. c. If AC= 20, IO= x+3, VS= 3x+5, Find IO. pls answer it with solution and if       Log On

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Question 1165186: 1.VIOS is a trapezoid with median line AC.
a. If VA= 5, find VI.
b. if IO= 10 and VS= 15, Find AC.
c. If AC= 20, IO= x+3, VS= 3x+5, Find IO.
pls answer it with solution and if u dont mind giving an explanation thankss :)
Answer by Seutip(231) About Me  (Show Source):
You can put this solution on YOUR website!
A median of a trapezoid is the segment that joins the midpoints of the nonparallel sides (legs)
I don't know how to draw trapezoid here sorry,
draw one where in
lower left (V)
upper left (I)
upper right (O)
lower right (S)
between V and I (A) middle left
between S and O (C) middle right
really sorry don't know how to draw yet.
a) VA=5 find VI=?
VI=2%28VA%29
VI=2%285%29=10
b) IO=10, VS=15 find AC=?
AC%28median%29=%28IO%28short+leg%29%2B+VS+%28longleg%29%29%2F2
AC=%28IO%2BVS%29%2F2
AC=%2810%2B15%29%2F2
AC=12.5
c. If AC= 20, IO= x+3, VS= 3x+5, Find IO.
AC=%28IO%2BVS%29%2F2
20=%28%28x%2B3%29%2B%283x%2B5%29%29%2F2
40=%28x%2B3%29%2B%283x%2B5%29
40=%284x%2B8%29
32=4x
x=8
IO=x%2B3
IO=8%2B3=11
HOPE THAT HELPS!
STAY SAFE!!