Question

Hello, I need help sloving a pythagorean problem. The side of the triangle is 5m,3m, and 2m+6

Answer 1

the formula is a^2+b^2=c^2

Answer 2

Which one is the hypotnus? the longest side?

Answer 3

yes

Answer 4

rigth i'm using that formula but my answers are coming up negative? :-(

Answer 5

are you trying to solve for m?

Answer 6

no romero

Answer 7

yes slove for m

Answer 8

ok

Answer 9

i got negative 5 and 1 and then i time them numbers by the giving number and they are still negative

Answer 10

\[(5m) + (3m)^2 = (2m+ 6)^2\]

Answer 11

woops forgot a squared

Answer 12

(5m)^2 + (3m)^2 = (2m + 6)^2
m = -0.76619 or m = 1.56619
But m = -0.76619 is an extraneous solution, so m = 1.56619

Consequently, the sides are about 7.83, 4.70, and 9.13

Answer 13

\[(5m)^2 + (3m)^2 = (2m+6)^2\]

Answer 14

Romero correct....dinosaur that looks correct how you come up with that answer?

Answer 15

You have a quadratic so you can have two values for m

Answer 16

if square all the numbers you get\[25^2 + 9m^2= 4m^2 + 24m+ 36\]
get everything to one side you have
\[30m^2 - 24m -36 = 0\]

Answer 17

where a = 30 b =-24 c=-36 and you use the quadratic formula to find the answers. Do you know to do from now on?

Answer 18

Romero that is what i got too and at the end the number are not coming out as whole numbers

Answer 19

Does the question say anything about what side is the longest? or m belongs to some interval?

Answer 20

the picture shows 5m to be the longest side

Answer 21

I see!

Answer 22

lol wow then we have it wrong

Answer 23

I thought so, because that would make the answer look nicer :)

Answer 24

if 5m is the longest side, then:
\[(5m)^2=(3m)^2+(2m+6)^2 \implies 25m^2=9m^2+4m^2+24m+36\]
\[\implies 12m^2-24m-36=0 \implies m^2-2m-3=0\]
then after factorization:
\[(m-3)(m+1)=0 \implies m=3, m=-1\]

Answer 25

since the value of m represents length, we only take the positive value, that's m=3.

Answer 26

awww thanks that look like that might be answer your a lifesaver :-)

Answer 27

then your sides are:
5m=15, 3m=9 and 2m+6=12

Answer 28

You're welcome :)