Question

what is the length of the altitude of the equilateral triangle below? (picture below)
a.240
b.4
c.12/3
d.4/3
e.144
f.12

Answer 1

use pythagorean theorem

Answer 2

solve for a (a>0):
\[(4 \sqrt{3})^2+a^2=(8 \sqrt{3})^2 \]

Answer 3

am i suppose to square root 3?

Answer 4

there is no point because you are squaring the (square root of 3)

Answer 5

example:
\[(4 \sqrt{3})^2 =4^2 (\sqrt{3})^2=16(3)\]

Answer 6

so i multiply 4x3?

Answer 7

please i need help :(

Answer 8

what part do you need help on?

Answer 9

the pythagorean theorem

Answer 10

am i suppose to multiply 4 to 3?

Answer 11

is my math code not showing up?
I thought this answered this question:
"example:
\[(4 \sqrt{3})^2 =4^2 (\sqrt{3})^2=16(3)\]
"

Answer 12

you multiply 4^2 and 3
or aka 16 and 3

Answer 13

you try doing the other one:
\[(8 \sqrt{3})^2=?\]

Answer 14

so i multiply 16 to 3 and 4x4? then after that i multiply them both together

Answer 15

i'm trying to solve for a

Answer 16

very good
we are simplifying right now

Answer 17

so from 48 do i square root it?

Answer 18

why sqrt it?

Answer 19

there is no square root around it...

Answer 20

how do i simplify 48?

Answer 21

\[(4 \sqrt{3})^2+a^2=(8 \sqrt{3})^2 \\ 48+a^2=(8 \sqrt{3})^2 \]
can you try simplifying the right hand side

Answer 22

48 is as simple as 48 gets

Answer 23

how do i simplify the right hand? Well then the answer is not 48?

Answer 24

no but that is what (4*sqrt(3))^2 equals

Answer 25

you seen how applied law of exponents to simplify (4*sqrt(3))^2
you try doing it to (8*sqrt(3))^2

Answer 26

so i multiply 8 x 8 which is 64 then i multiply the 64 to the 3?

Answer 27

yes

Answer 28

so i got 192 what is next?

Answer 29

\[(4 \sqrt{3})^2+a^2=(8 \sqrt{3})^2 \\ 48+a^2=(8 \sqrt{3})^2 \\ 48+a^2=192 \text{ solve for } a^2 \text{ first }\]

Answer 30

is my answer c?

Answer 31

we will see
can you solve for a^2

Answer 32

i got 12?

Answer 33

for a^2?

Answer 34

a^2=192-48
a^2=what is 192-48

Answer 35

yes
i plug in 48-192 which gave me 146 then I square rooted 146 and it came out as 12.08

Answer 36

192-48 isn't the same as 48-192
and also 192-48 isn't 146

Answer 37

i still got 12 i subtracted wrong