Proportional segments in a right triangle
Answers are for parents and teachers.
1
The projections are 2 and 32. What is the altitude?
8
2
The hypotenuse is 20 and a leg has projection 5. How long is that leg?
10
3
The legs are 9 and 12. What is the altitude to the hypotenuse?
7.2
4
What is the length of the mean proportional of 5 and 20?
10
5
Why do we need a semicircle to construct the mean proportional?
A point on the semicircle sees the diameter at a right angle, and the altitude of a right triangle is a mean proportional.