9.1 Right Triangles Flashcards
geometric mean
the geometric mean of two numbers a and b is the POSITIVE number x such that
a x
– = –
x b
if the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are…
similar to the original triangle AND to eachother
what do you do when you take the square root of something? but does it apply with geometric mean?
you add a plus or minus sign BUT a geometric mean is POSITIVE so you take away the negative sign
in a right triangle, the length of the ALTITUDE from the right angle to the hypotenuse is the…
*nickname?
GEOMETRIC MEAN of the lengths of the two segments of the hypotenuse
*boomerang theorem
“boomerang”
must include the altitude and the two segments of the hypotenuse
the middle number (altitude) is the GEOMETRIC MEAN
in a right triangle, the altitude from the right angle to the hypotenuse DIVIDES the hypotenuse into…
Each LEG of the right triangle is…
*nickname?
two segments.
the GEOMETRIC MEAN of the hypotenuse and the segments of the hypotenuse that is adjacent to that leg
*hot dog theorem
“hot dog”
must include a leg, the adjacent part of the hypotenuse, and the whole hypotenuse the leg (which will be on the top or bottom of the hot dog) is the GEOMETRIC MEAN
