Question

Pythagorean Theorem Tutorial.

Please do not comment until I am done.

Answer 1

First, it’s best to know what we’re learning about. Let’s start with our definitions, shall we?

Hypotenuse: The longest side of right-angled triangle.(C)

The length of the hypotenuse is always longer than A or B.

Answer 2

A and B are two lengths of the right angle. (It wont matter which is A and which is B)

The Pythagorean Theorem is used to find the length of a right triangle. (PT)

Example PT: \[a^{2}+b ^{2}=c ^{2}\]

Answer 3

In a right triangle, the sum of the squares of the length of the leg is equal to the square of the length of the hypotenuse.


Let’s try one together. We’re going to find the length of the hypotenuse of this triangle.

\[a^2+ b^2=c^2~1.~Detect~your~A~and~B~(should~be~the~numbers)~\]\[3^2 +4^2=c^2~2.~Input~them~into~the~equation.~(At~the~start) ~\]\[3 \times 3 + 4 \times 4= 9 + 16~3.~Lay~it~out.\] \[9 + 16 = c^2~ \]. 4. Now that you have solved it time to put it in to~isolate c find the square of both sides.
\[\sqrt25=\sqrt c^2 Think~of~\it~this~way,~what ~is ~the~lowest ~of~ 25?~ 5!\]
So your answer would be 5.

Answer 4

There are Pythagorean Triples.

Pythagorean Triples Examples: \[3^2+4^2=5^2 \]\[5^2+12^2=13^2 \]\[8^2+15^2=17^2\]

We can also use the PT to find the missing length of a leg, solve it just like an equation.

Here’s another full example:

Layout the solution:\[a^2+b^2=c^2\]Input your information: \[6^2+b^2=10^2 \]\[36 + b ^{2}=10 \] Cross out both 36’s at the start.. Subtract 100-36.\[36-36+b^2=100-36 \]\[b^2=64 \] After subtracting 100-35 you should get 64.

\[b^2=64 \] This means your answer would be 64.

Answer 5

*Correction.

\[\sqrt{b^2} = \sqrt{64}\] Divide 2 by 64 and you should get 8.

b=8

This mean's your answer would be 8.

Answer 6

Good Job. c:

Answer 7

Tank You! c:

Answer 8

tanks besty this is bery helpfool xd

Answer 9

Yup c:

Answer 10

Great Job!

Answer 11

Thank you.

Answer 12

Here’s another full example:

Layout the solution:
a^2+b^2=c^2
Input your information:
6^2+b^2=10^2
36+b^2=10
ATTENTION please on the right part 10^2 = 100 not 10 !!!!

Answer 13

Thank you for another example <3

Answer 14

thank you astrid your very smart and this was very helpful

Answer 15

She is very very smart yeah, I love her for it. c:

Answer 16

yeah she is one smart girl

Answer 17

sanks so much

Answer 18

Chu are wewcome <3 <3

And Joshy, you are smart as well, and I love you for it too c:

Answer 19

Ohh, sorry o-o

Answer 20

I can't really edit the comment but thank you for the clarification o:

Answer 21

Awesome astrid

Answer 22

teach me how to divide

Answer 23

^._.^ Nah <.<

Answer 24

Im not even at that level but good job explaining it.

Answer 25

Yeah, c:

Answer 26

nice job astrid

Answer 27

Yes, very very nice job. c:

Answer 28

Thanks, besides my mathematical error jhonyy pointed out I think I did well o:

Answer 29

You also forgot to mention this:

Answer 30

e.e I had a feeling this would crumble but thanks 😊

Answer 31

Aye, you did amazing, don't forget that.

Answer 32

She just missed a key jhonyy, not that big of a deal.

Answer 33

Geez, sorry. Maybe I should just close this ._. then none of it would hurt anybody's math grade.

Answer 34

you could make a repost, give all of the information you have now..

Answer 35

I would do that but I can't retype it. With both my laggy devices plus it won't go far. It's better and safer for me to close this than to leave it open.