Question

Help?

Answer 1

Given: ∆BCA is a right triangle.
Prove: a2 + b2 = c2


The two-column proof with missing justifications proves the Pythagorean Theorem using similar triangles.

Statement
Justification
Draw an altitude from point C to

Let = a
= b
= c
= h
= x
= y

y + x = c



a2 = cy; b2 = cx

a2 + b2 = cy + b2

a2 + b2 = cy + cx

a2 + b2 = c(y + x)

a2 + b2 = c(c)

a2 + b2 = c2



Which is NOT a justification for the proof?

Addition Property of Equality

Pythagorean Theorem

Pieces of Right Triangles Similarity Theorem

Cross Product Property

Answer 2

@experimentX well its been a little over 15 mins?

Answer 3

I know how it works I just dont know what the propertys mean and i need to go have lunch, anyone?

Answer 4

where is the original photo of this proof ... i barely understand what you've written.

Answer 5

Ok one second

Answer 6

@experimentX does that help?

Answer 7

?? Im hungry pleasse help!

Answer 8

first row do nothing ...

Answer 9

second row just put let ... let ... let ... or assumption since this is just assumption.

Answer 10

third row ... (this is sum of parts of straight line)

Answer 11

yes, but Which is NOT a justification for the proof?

Addition Property of Equality

Pythagorean Theorem

Pieces of Right Triangles Similarity Theorem

Cross Product Property

Answer 12

Which one do i not use?

Answer 13

fourth row ... (the ratio of sides of similar triangle are proportional)

Answer 14

fifth row (follows from 4th row)

Answer 15

rest is algerba ... in which row do you need help?

Answer 16

Pythagorean Theorem
this is not the justification of the proof ... isn't this what you are going to prove.

Answer 17

Thanks! Lets see if its right...

Answer 18

YES! Love you experiment! Now I CAN EAT! @experimentX

Answer 19

nice proof BTW ... I didn't know this concise proof.