4. You're right that the leg labeled

occurs in a 1-to-2 ratio with the hypotenuse, but more to the point, it also occurs with the leg of length 10 in a 1-to-

ratio. In other words,

and so

5. In this kind of triangle, the legs form a 1-to-

ratio with the hypotenuse, so it follows that

.
6. You have

and

mismatched. The larger leg in this kind of triangle has the

scaling factor. So in fact,

, which makes the larger leg

, and the hypotenuse would be

.