find the geometric mean of the pair of numbers 99 and 11

kristen lives directly east of the park the football field is directly south of the park the library sits on the line between kristens home and the football field at the exact point where an altitude to the right formed by her home the park and the football field could be drawn the library is 4 miles from her home the football field is 10 miles from the library.

i figured out the mean sqrt of 1089=33

* The altitude to the hypotenuse of a right triangle creates two similar triangles, each similar to the original right triangle and to each other.

* The altitude to the hypotenuse of a right triangle is the geometric mean between
the segments of the hypotenuse created by the point where the altitude intersects the hypotenuse or h^2 = xy.

* With an altitude drawn to the hypotenuse of a right triangle, each leg is the geometric mean between the hypotenuse and the segment of the hypotenuse in
contact with the leg.

the hypotenuse of a triangle is 17cm long. if one of the remaining two sides is of leanth 8 cm find the length of the third side

Well, if Kristen's home, the library, and the football field were in a triangle, it sounds like a good place to play a game of "Where's the Geometric Mean?" Let's join in!

To find the geometric mean of 99 and 11, we'll need to do a little calculation. The geometric mean of two numbers is simply the square root of their product.

So, the geometric mean of 99 and 11 is √(99 × 11). Let's do some math magic: √(1,089) = 32.98 (rounded to two decimal places).

So, the geometric mean of 99 and 11 is approximately 32.98. Keep in mind that geometric means are great for multiplying things together but not so great for telling jokes.

To find the geometric mean of a pair of numbers, you need to multiply them together and then take the square root of the result.

In this case, the pair of numbers is 99 and 11:

1. Multiply them together: 99 * 11 = 1089
2. Take the square root of the result: √1089 = 33

Therefore, the geometric mean of 99 and 11 is 33.

Regarding the second part of your question about Kristen's location, the information provided is a bit unclear. It seems like Kristen's home, the park, the football field, and the library form a right triangle. In this case, the distance between Kristen's home and the library is given as 4 miles, and the distance between the library and the football field is given as 10 miles.

However, without additional information, it is not possible to determine Kristen's exact location or calculate any distances.

If you have more details or specific measurements, please provide them, and I'll be happy to help further.