Question

http://www.castlelearning.com/review/imagelibrary/PersonalImages/70/4150970/test%2023b.jpg

find x

Answer 1

just a sec I need to solve it

Answer 2

ok thanks

Answer 3

use the pythagorian theorem

Answer 4

d^2=a^2+h^2
c^2=h^2+b^2
a+b=8

Answer 5

h^2=d^2-a^2
h^2=c^2-b^2
a+b=8

Answer 6

the possible answers are 2 square root of 3, 4 square root of 3,4,and 6

Answer 7

you can try to sunstitude them and check if one works

Answer 8

d^2-a^2=c^2-b^2
a+b=8

Answer 9

d^2-c^2=a^2-b^2
a+b=8

Answer 10

also you can find h using area
h*8=d*c

Answer 11

(d+c)(d-c)=8*(a-b)

Answer 12

I have no idea

Answer 13

@SolomonZelman

Answer 14

I now see that I'm stuck in it

Answer 15

d^2=h^2+36

Answer 16

just a sec I GOT IT!!!

Answer 17

add two first equations and on the left side you will get a hypotenuse

Answer 18

and

Answer 19

d^2=a^2+h^2
c^2=h^2+b^2 result in d2+c2=2h2+a2+b2
a2+b2=36+4=40

Answer 20

d2+c2=64
64=2h2+40

Answer 21

h2=24/2=12

Answer 22

h=sqrt12=sqrt(4*3)=2*sqrt3

Answer 23

so the answer is \[2\sqrt3\]