Question

Question #94e1f

Answer 1

I don't think the question you're asking is possible, because of the inequality theorem of triangles. I've searched online for a similar problem and found this one. I'm guessing you meant that, so here's a summary of the answer:

The answer is `49/4`.
The first thing that's important is that you understand the question. So let's make a drawing:

We're going to add a line, to do this:

The length of `|EB| = 7`, the same as `|AD|`
The length of `|EC| = b-a`

Since the angle of `E` is `90°`, we can apply the Pythagorean theorem:

`(b-a)^2 + 7^2 = (a+b)^2`
If we work this out, we get:
`b^2-2ab+a^2+ 49 = a^2 + 2ab +b^2`
`49 = 4ab`
So, what is the product of `|AB|` and `|CD|`? it's `ab`
`ab = 49/4`

source: maa.org