Question

Can someone help me solve this?? geometry

Answer 1

u know Trignometry

Answer 2

no i don't

Answer 3

pythagoras theorem ?

Answer 4

you mean (a)2 + (b)2 = (c)2 ??

Answer 5

can u find AC first ? ?

Answer 6

yes.

Answer 7

one sec let me calculate

Answer 8

i got 18. something something something

Answer 9

using pythagoras again, find AD

Answer 10

or i got 16(2) + 10(2) = 356 ...

Answer 11

no, 16 is hypotenuse, so it'll be \(\sqrt{16^2-10^2}\)

Answer 12

got that^ ?

Answer 13

i first did 16(2)-10(2) on the calc and i got 156

Answer 14

right, so keep \(AC^2=156\)
now using pythagoras again, find AD .

Answer 15

how??

Answer 16

pythagoras theorem in triangle ACD with CD = 16-x

Answer 17

okay now I'm stuck. i really don't get it. if AC2=156 how am i suppose to find D with one number??

Answer 18

ok, let me write steps using pythagoras theorem in both triangles.
ACD and ABD
\(AD^2=AC^2-CD^2 \\AD^2=AB^2-BD^2 \\ \implies AC^2-CD^2 =AB^2-BD^2 \)

Answer 19

CD = 16-x , BD =x
only x is unknown

Answer 20

can u find 'x' now ?

Answer 21

no

Answer 22

i give up.

Answer 23

heyyy

Answer 24

\(156 -(16-x)^2=x^2+10^2\)

Answer 25

\(156-256+32x+x^2=x^2+100 \\-100+32x=100 \\32x=200\)

Answer 26

still can't find 'x' ? @ashley753 ?
x= 200/32 = 25/4

Answer 27

i found x and the answer was C thank you!