please help?

Question

a ray bisects an angle of a triangle, the top two sides measure 5 and 4. the bottom sides measure x any. when this two x+y=6. what is the value of each x and y?

the bottom sides are x and y

Answer 1

You could do guess and check. If one of the angles is bisected then one of the top sides is cut. Lets choose 5 to be the side adjacent to the bisected angle and 4 to be the incomplete side.
Now lets choose a value for x and y that works. 1 and 5 add up to 6. If we plug this into the triangle the sides are 5,5,5 or 5,9,1.
5,9,1 won't work. 5,5,5 won't work either. For 2, and 4:the sides are 4,5,6 or 2,5,8. Only 4,5,6 works out of these 2. For 3,3:3,5,7
4,5,6 and 3,5,7 are two possibilities(i'm not sure how to check these.

There are no possible answers if you switch 5 and 4

So is it
A.2 and 4(sides being 4,6,5 not enough info for me to say which is x or y)
B.3 and 3(sides being 3,7,5)
C.None of the above
I can't help u past this but i think that B is the more likely answer
Does the answer have to be an integer?(if it doesn't then this isn't any help)
Hope this helped you.

Answer 2

im not too sure of the answer. But this triangle is one of the common triangles - its a "3,4,5" triangle"

so i guess x = 3

plug x into the equation

3+y=6

y=3

if that makes sense, then I think it's correct...

my geometry is a little rough...