Question

solve for x

Answer 1

altitude = geometric mean of segments of hypotenuse

Answer 2

All the problems you've been dealing with are basically related to geometric mean only

Answer 3

you may do these using similar triangles approach as you've learned them in geometry already. but since all are geometric mean related, i would guess your teacher wants you do these using geometric mean thingy

Answer 4

so i am pretty much doing what i kinda did with the other ones

Answer 5

you wanto do these using similar triangles
or
you wanto do these using geometric mean ?

Answer 6

pick one

Answer 7

geometric mean

Answer 8

cool then its easy, you dont have to setup a proprtion

Answer 9

altitude = geometric mean of segments of hypotenuse

Answer 10

when we are done can we try doing it the other way

Answer 11

okay lets do both,

Lets first do geometric mean

Answer 12

altitude = x+5

Answer 13

segments of hypotenuse = x, 20

Answer 14

altitude = geometric mean of segments of hypotenuse

\(x+5 = \sqrt{x \times 20}\)

Answer 15

thats how we take geometric mean right ? (multiply both, take square root)

Answer 16

i think so

Answer 17

square both sides
solve x

Answer 18

ok ^^ wouldnt that cancel out sqrt

Answer 19

yes it wud