Question

PLEASE HELP!!

Answer 1

Do you know the right triangle altitude theorem?

Answer 2

no

Answer 3

You need two things.

1) Right triangles so arranged are SIMILAR.
2) The Right Triangle Altitude Theorem

Go!

Answer 4

The right triangle altitude theorem consists of two parts.

Answer 5

okay thanks

Answer 6

Part 1. In a right triangle, the length of the altitude drawn to the hypotenuse is the geometric mean of the lengths of the segments of the hypotenuse.

Answer 7

Part 2. In a right triangle, if the altitude is drawn to the hypotenuse, each leg is the geometric mean of the hypotenuse and the segment of the hypotenuse adjacent to the leg.

Answer 8

With those two parts you should be able to set up a proportion for each problem.
Keep in mind what the geometric means is:
If b is the geometric mean of a and c, then a/b = b/c

Answer 9

For example, look at problem 26.
The two segments of the hypotenuse measure 1 and 9. The hypotenuse measures 10. x and y are legs of the large triangle. You can use part 2 of the theorem to set up a proportion to calculate x and another proportion to calculate y.

Answer 10

In problem 27., you are looking for the length of the altitude, y, so use part 1 first. Then use part 2 to get x.