Question

If BD=35, find length x.

Answer 1

if i were you i would try answers.com

Answer 2

BD=35
CD=35-x

21²+28²=35 is true, and it is a right triangle (right triangle where it appears to be)
We see that ∠BAC and ∠DAC are equal, (from the pic)

So, knowing that ∠BAC and ∠DAC , we can say that AC is bisecting BD right in the middle (at point C)

Answer 3

No, it is not bisecting, sorry.

Answer 4

but the ratio of BC to CD should be, should be equivalent to the ratio of 21:28

Answer 5

The ratio is 3/4. Is that right?

Answer 6

yes

Answer 7

Is there a certain way to solve it? Or do I just keep guessing until I come up with another equivalent ratio?

Answer 8

Yes,
4(x)=3(35-x)
4x=105-3x
7x=105
x=15

And we see that

35-x=
35-15=
20

So, DC=20
and
BC = x = 20

Answer 9

Why did you start with 4(x)?

Answer 10

@SolomonZelman

Answer 11

I said because the ratio of sides is 3:4