Question

A right triangular park, ABC, is surrounded on three sides by square shaped reading halls of a library X, Y, and Z, as shown below.

http://learn.flvs.net/webdav/assessment_images/educator_geometry_v14/pool_Geom_3641_0400_Subtest_01_03/image0044e27065d.jpg

If the area of hall X is 256 square meters and the area of hall Z is 900 square meters, what is the area of hall Y?

1312 square meters

1156 square meters

1756 square meters

2312 square meters


I don't even know what formula I would use to solve this. Help me, please? c:

Answer 1

hah good one

Answer 2

first...do you know the formula for square?

Answer 3

area of square*

Answer 4

like just x^4?

Answer 5

no. its side^2

Answer 6

the area of square X is 256...so what is the side?

Answer 7

oh. √256 = 16?

Answer 8

yup so which side is that? AB? BC? or AC?

Answer 9

BC?

Answer 10

right

Answer 11

now solve for side AB

Answer 12

Just do that all the way around the triangle?

Answer 13

Okay! :)

Answer 14

you use that to solve for side AB

Answer 15

then you use pythagorean theorem to get side AC

Answer 16

then you square that side to get the area of hall Y

Answer 17

AB is √900 = 30 :D
So I have 16^2 + 30^2 = √8,580 ?
I think... lol

Answer 18

what did you do?

Answer 19

o.o
I just did BC = 16 and AB = 30
so then I did 16^2 + 30^2 = x^2
D: Was it bad?

Answer 20

then after that?

Answer 21

Well I did 256 + 900 = √1156 ... Oh. I have no idea what I did up there o.o Forgive me

so
16^2 + 30^2 = 34^2

Answer 22

why do you keep squaring things?

Answer 23

D: idk

Answer 24

Is it just 16 + 30 = 34...well no, but idk Dx

Answer 25

I think the answer is 1156 but I think lgba went afk lol

Answer 26

it's 1156

Answer 27

hope you know how

Answer 28

Yeah! Thank you! I really appreciate it

Answer 29

Thanks ! I used this tool :- http://www.acalculator.com/graphing-calculator-online/