Isosceles trapezoid ABCD has legs If AB = 4y – 3, BC = 3y – 4, and CD = 5y – 10, find the value of y.

Question

squidnnneyyy · Answer

is there a diagram?

dragonman1 · Answer

or a picture that you can attach

nickthurmm1 · Answer

no

squidnnneyyy · Answer

All you have to do is imagine that you have a trapezoid in front of you that is labeled ABCD (A is the top left, B is the top right, C is the bottom right, and D is the bottom left.)

squidnnneyyy · Answer

Then imagine the diagonals being connected by two lines that form an x.

squidnnneyyy · Answer

I would draw this out soyou see what I mean

squidnnneyyy · Answer

AD is equal to BC

dragonman1 · Answer

so ad and bc would be the sides right

squidnnneyyy · Answer

yes

squidnnneyyy · Answer

they are equal becase this is an isosceles trapezoid so two sides are equal

dragonman1 · Answer

so it would look like this

squidnnneyyy · Answer

move everything clockwise 1, so B would be A, C would be Betc...

squidnnneyyy · Answer

got it? Want me to check again, or keep explaining?

dragonman1 · Answer

ye i got it

squidnnneyyy · Answer

ok so then you would use the formula AB=CD
subtsitue in the equation for each.

4y-3=5y-10      Then solve.
-4y             Subtract 4y on each side

squidnnneyyy · Answer

-3=y-10
+10            Add 10 on each side
7=y

dragonman1 · Answer

yes good job

squidnnneyyy · Answer

Thanks!