Question

find x in the triangle??

Answer 1

i know that the area is 12.

Answer 2

can you set it up for me?

Answer 3

my bad, it's just a pythagorean theorem problem

Answer 4

\[
(6m)^2+(4m)^2 = x^2
\]

Answer 5

for some reason i don't think i'm doing this correctly.

Answer 6

a^2+b+2=c^2 in right triangles where a, b are the legs and c is the hypotenuse

Answer 7

but with m in the equation im not understanding ho to solve it

Answer 8

I'm pretty sure the m just means meters

Answer 9

if not, then treat it as you would anything
\((6m)^2+(4m)^2=x^2\\x=\sqrt{(6m)^2+(4m)^2}\)

also if it isn't meters, than your answer to area should have an m

Answer 10

oh so i can take the m out and solve.

Answer 11

so 52 m^2 ?

Answer 12

yeah, and since \(x=\sqrt{52m^2}=\sqrt{52}\sqrt{m^2}\), you can simplify it like that.

Answer 13

but it could also remain as 52m^2 ?

Answer 14

that's kinda pointless given that we have to simplify the radical

Answer 15

sorry im confused then

Answer 16

can you help me simplify it?

Answer 17

just do it without the m's, you get the same answer.
\(6^2+4^2=x^2\)

Answer 18

yeah that would still give me 52m^2 then.
after that what am i supposed to do with it to simplify?

Answer 19

how? there are no m's there, where are you getting m's from?

Answer 20

i thought i just add it on ? okay so 52^2

Answer 21

then what?

Answer 22

wut

Answer 23

\(x^2=6^2+4^2\\x^2=36+16\\\x^2=52\)

Answer 24

you said it needed to be simplified further. is 52^2 my answer? that's what i've been asking.

Answer 25

tkae the square root of both sides to solve for x. 52^2 makes absolutely no sense. show your work so I can understand where you're getting the number from

Answer 26

x is an unknown, you can't just replace it with a number. we're solving for x, remember?

36+16=x^2 to solve for x take the square root of both sides.

Answer 27

what do mean?