Question

Geometry question (figure in comments)
1. calculate DE

2. calculate EG

Answer 1

@ganeshie8 any help?

Answer 2

similar triangles

Answer 3

DE is the geometric mean between the hypotenuse and the segment of the hypotenuse next to DE.

Answer 4

one thing at a time. lets calculate DE first :)

Answer 5

hypotenuse = DF = 3+8 = 11

right ?

Answer 6

yes

Answer 7

now DE is the geometric mean between hypotenuse & segment next to DE

=>

DE = \(\sqrt{3*11}\)

Answer 8

5.7?

Answer 9

thats right ! you can leave it as \(\sqrt{33}\) also, unless the question explicitly asks for decimal form

Answer 10

ok cool so DE would be what I said earlier?

Answer 11

root 55?

Answer 12

you mean EG ?

Answer 13

EG sorry, yes

Answer 14

thats not correct. looks something went wrong in ur calculation s...

Answer 15

ok

Answer 16

if you see , EG is the altitude from vertex E to hypotenuse

Answer 17

right

Answer 18

The length of the altitude is the geometric mean between the segments of the hypotenuse

Answer 19

=>

EG = \(\sqrt{3*8}\)

Answer 20

does that make sense ?

Answer 21

2 root 6

Answer 22

thats right !!

Answer 23

thank you!

Answer 24

for solving these you just need to remember two things :

1) The length of the altitude in these right triangles is the geometric mean between the segments of the hypotenuse.

2) Each leg is also a geometric mean between the hypotenuse and the segment of the hypotenuse next to the given leg.

Answer 25

yw.. .:D

Answer 26

I have one more problem if you dont mind?

Answer 27

sure post :)

Answer 28

soh-cah-toa

Answer 29

Calculate for cos, sin, and tan.

Answer 30

Yes sohcahtoa

Answer 31

you giving segment-one exam right :)

Answer 32

exam?

Answer 33

nvm :)

Answer 34

oh okay lol

Answer 35

look the triangle from \(\theta\)

Answer 36

okay

Answer 37

you goto \(\theta \) corner, sit there and look

Answer 38

can you identify below two :
1) adjacent side
2) opposite side

?

Answer 39

adjacent is 10, opposite is 10?

Answer 40

*12

Answer 41

hypotenuse = 12,

there wont be any change in hypotenuse, no matter from which corner you see the triangle ok

Answer 42

okay

Answer 43

adjacent side = 10, as it is the one next to \(\theta\)

Answer 44

opposite side is not given, we need to find it