SAT PLS help: if x and y are integers such that 5

Question

SAT PLS help: if x and y are integers such that 5<x<9 and 3<y<11 what is the perimeter of the largest isosceles triangle that contains three acute angles and sides of length x and y?

jim_thompson5910 · Answer

The largest possible values for x and y are x = 8 and y = 10

jim_thompson5910 · Answer

so if the legs were 10 units each, then you'd have to make the base be 8 units (if you needed to use both x and y)

so you would have this triangle

|dw:1361579929911:dw|

anonymous · Answer

the choices are 
a)6
b)8
c)10
d)11
e)13

jim_thompson5910 · Answer

are those choices for the perimeter?

or x? or y?

anonymous · Answer

yeah theyre for the perimeter :/ and the correct answer is 10 but i dont know why

jim_thompson5910 · Answer

well I used the largest values I could for x and y to get the largest perimeter

the perimeter I'm getting is 10+10+8 = 28

but that's not listed

anonymous · Answer

yeah the question does say it must have three acute angles tho. so maybe that makes a difference?

jim_thompson5910 · Answer

well the triangle I drew has 3 acute angles

jim_thompson5910 · Answer

I used geogebra to confirm that too

anonymous · Answer

i see, maybe the test book im using is wrong. :/

jim_thompson5910 · Answer

possibly

jim_thompson5910 · Answer

but do you see how I got my answer?

anonymous · Answer

yeah i definitely think its wrong. i also was thinking along the same lines before i posted so yup

jim_thompson5910 · Answer

yeah me too, happens all the time