Question

7. The hypotenuse of a right triangle is 37. The longer leg is one less than twice the shorter leg. Set up a solve a Pythagorean Theorem solution to find the lengths of the legs of the triangle

Answer 1

I have let a=x and b=2x-1

Answer 2

right

Answer 3

and let c =37

Answer 4

(x)^2-(2x-1)^2=37

Answer 5

dont we sqaure 37 too?

Answer 6

yes

Answer 7

which is friggin' huge= 1369

Answer 8

so I have 5x^2+4x-1=1369 ?

Answer 9

but I can'tget past that. I know I need -b +- square root of b^2-4ac all over 2a
but it's just such a hunge number o.o

Answer 10

\[x^2+(2x-1)^2=37^2\]

Answer 11

it should be -4x in that equation you set up

Answer 12

oh

Answer 13

but I do \[4+-\sqrt{16-4(5)(-1370)}/10\] ?

Answer 14

it's just that number is mega huge, and it doesn't seem right?

Answer 15

I know the answers are 17 & 33, but I can't figure out how to get there

Answer 16

i got it, give me a sec

Answer 17

ok

Answer 18

are you sure that the problem is written correctlly

Answer 19

can you double check that the problem is written correctly?

Answer 20

im sorry yes

Answer 21

7. The hypotenuse of a right triangle is 37. The longer leg is one less than twice the shorter leg. Set up a solve a Pythagorean Theorem solution to find the lengths of the legs of the triangle. ans: 17 and 33

Answer 22

that is how it is written. there was one question before that no matter what I just couldn't get the same answer. I wonder if the teacher had some wrong answers on there?

Answer 23

what if it was 36 instead of 37?

Answer 24

or even just 6?

Answer 25

or 7?

Answer 26

i think something may be off

Answer 27

its just weird cause the it gave such a weird quadratic to solve. Usually these problems are a piece of cake, very routine. I assume your in highschool or something?

Answer 28

no college

Answer 29

right, either getting ready to leave highschool or in college i meant

Answer 30

yeah, but still a problem like this should be routine

Answer 31

but 37 squared is just so huge, it really doesn't make sense. I'm just going to ask him on tuesday. since all the examples use 9 or 6 or some single didgt...

Answer 32

I did give you a good answer through for digging through it with me. It just doesn't make sense at all.

Answer 33

yeah, thanks, its just 37 is a weird number for hypothense, and the quadratic is also not making sense, it should factor easily

Answer 34

well we're suing the quadratic forumla, but still 37^2 is SOO huge! and then to make it a negitice just doesn't work.

Answer 35

using* negitive*

Answer 36

anyways, thank you for trying to help. <3