Question

The altitude to the hypotenuse of a right triangle has a length of 12. what are the possible lengths of the two segments of the hypotenuse.

A. 2 and 6
B. 2 and 8
C. 6 and 24
D. 6 and 30

Answer 1

Use the formula

Answer 2

That helped a lot. Thanks

Answer 3

You're welcome.

Answer 4

The reason for the above is that when you have a right triangle and you draw the altitude to the hypotenuse, you end up with 3 similar triangles. That's why those ratios are equal.