Question

a right triangle has base(x-6)units and a hight (6x-12) units

Answer 1

what is the square of the hypotenuse of the triangle

Answer 2

what is the area of the triangle

Answer 3

using the area explain the clouser property of multiplication of polynomials

Answer 4

can you fill in what we know on the triangle?

Answer 5

great, now the pythagorean theorem says sides a and b, when squared equals the hypotenuse, c.

a^2 + b^2 = c^2

can you do a^2 + b^2?

Answer 6

I don't get how to do that

Answer 7

?

Answer 8

if a is (x-6)
and b is (6x-12)

and i subtute them into
a^2 + b^2 it becomes
(x-6)^2 + (6x-12)^2

Answer 9

(x^2-36)+(6x^2-144) ?

Answer 10

mmm... not quite

(x-6)^2 is the same as (x-6)(x-6), now FOIL

Answer 11

x^2-6x-6x-36

Answer 12

great, just combine like terms so you get -12x

now FOIL the other one too, (6x-12)^2

Answer 13

so foil (6x-12)and (6x-12)

Answer 14

yep ^_^

Answer 15

36x^2-72-72+144?

Answer 16

yep, just rmember its 72x, not just 72
36x^2-144x + 144

Answer 17

a^2 + b^2
becomes
(x^2-12x-36) + (36x^2-144x + 144)

now simpify

Answer 18

do I foil?

Answer 19

nope, its like this:
(x^2-12x-36) + (36x^2-144x + 144)
x^2-12x-36 + 36x^2-144x + 144

Answer 20

just simplify

Answer 21

36x^4-156x^2+108?

Answer 22

close!
37x^2 -156x +108

36x^2 + x^2 = 37x^2

Answer 23

don't u add the exponets tho?

Answer 24

"what is the square of the hypotenuse of the triangle"
its this
37x^2 -156x +108

becuase if the hypotenuse is 'c' and we did
a^2 + b^2= c^2

Answer 25

and y 37?

Answer 26

here are the rules:

when adding terms that have the same power on the x's, we just sum the coefficeints

when multipying terms we add the exponents and times the coefficients

Answer 27

ooo ok thanks

Answer 28

do I just add to get c now

Answer 29

if this is c, "using the area explain the clouser property of multiplication of polynomials"
I haven't the slightest idea what it means :(

Answer 30

no the hyp "c"

Answer 31

or is it done

Answer 32

ok sorry

the question says"what is the square of the hypotenuse of the triangle"
we named the hypotenuse 'c' and it is asking for the squre of the hypotenuse, so that would be "c^2"

and we did
a^2 + b^2 = c^2
37x^2 -156x +108 = c^2

Answer 33

ya, we got it

hey, i gotta log off now. good job today ^_^

Answer 34

thanks again

Answer 35

^_^