Question

What is the length of each leg of the triangle below?

A. 15
B. 11
C. √11
D. √22
E. 1
F. 11√2

(Picture below.)

Answer 1

You can use Pythagoras to solve this.

\[a^2+b^2=c^2\]

where in this case a=b since we have a 45 45 triangle.

Answer 2

Do you still need more help?

Answer 3

45^2+90^2=45^2?

Answer 4

@RyanL.

Answer 5

Nope the 45 is an angle.

Answer 6

a and b are the unknown sides while c=22

Answer 7

How do I figure the two other sides?

Answer 8

The two sides are equal that means that you can set up the equation as
\[a^2+a^2=c^2\]
then simplify it to
\[2a^2=c^2\]

Answer 9

solve for a and replace c with 22 because we know that c=22

Answer 10

11^2+11^2=22^2

Answer 11

So answer is 11?

Answer 12

Yeah, 11

Answer 13

That's doesn't seem right. Can you show your work and tell me how you got 11?

Answer 14

11^2+11^2=22^2
2(11)^2=22^2
484=484?

I did it again, that's what I got?

Answer 15

I think I see what you did wrong. You need to always follow the order of operations.

PEMDAS

Parentheses
Exponent
Multiplicaiton
Division
Addition
Subtraction

Before you can multiply 11 by 2 you need to do the exponent part first ^2

Answer 16

Do it the way I told you. Solve for a

Answer 17

\[2a^2=c^2 \]

Answer 18

cos represents the bottom leg of the triangle so it's length = "the length you already have" 22 cos("the angle you have" 45).
22×cos45

And Sin is for the vertical leg.
\[22\times \sin 45 \]

Answer 19

11^2+11^2=22^2
2(11)^2=22^2
242=484 ?

Answer 20

Yeah Since it's doesnt equal that means that 11 can't be the answer.

Answer 21

Instead of plugging things in and doing trial and error

just solve for a

Answer 22

The answer is F.

Answer 23

@3la2 I can say that the answer is A

So who is right me or you?

Answer 24

@RyanL. Trust me on this.

Answer 25

Yeah because you know more math than I do.

Answer 26

@RyanL. I never said that and I was just gave him the correct method.

Answer 27

2(15)^2=22^2
450=484 ?

Answer 28

@marcoduuuh Hey just solve for a and you will find your answer. What you are doing is going to take you forever.

Answer 29

@3la2 You are saying my method is wrong?

Answer 30

How do I solve for A then?

Answer 31

divide both side by 2

Answer 32

@RyanL. Yes.

Answer 33

then square root both sides.

Answer 34

@3la2 Lol my method is better than yours.

Answer 35

Okay got it, the answer is F.

Answer 36

Wow good job @3la2 Don't give answers away. -.-

Answer 37

Thank you guys. Sorry, I was on break & I forgot every single thing about geometry. Thank you for your patience.

Answer 38

@RyanL. LOL are you serious?
@marcoduuuh No problem.

Answer 39

@3la2 He doesn't even know trig so he won't even understand what you wrote down.

Answer 40

@RyanL. Isn't he here to learn?

Answer 41

Its F. He was right.