     # Pythagorean triples

• View
223

1

Tags:

Embed Size (px)

DESCRIPTION

### Text of Pythagorean triples

• Pythagorean triples

Thursday, April 5, 2012

• Pythagorean Theorem

A

B

C

Try to prove if side A=3, B=4, and side C=5

Thursday, April 5, 2012

• How this is works?

Well, at the problem that the problem that we just saw, we can calculate side C by using this strategy:

C Square(C2)=A2+B2

So: 9+16=25

C2=25

C=5

This solution is called the pythagorean triples

Thursday, April 5, 2012

• Word problem

Consider the diagonal of a 7cm by 10cm rectangle. Find the diagonal?

the problem is equal to..8 x

10We must use the

pythagorean triples strategy

8x8+10x1064+100=149

x2=164x= 2 41

Thursday, April 5, 2012

• converse pythagorean theoremProve is this triangle is right angled?

57

yy2=7x7+5x549+25=74

y2=74y= 74

Because 74 is not a whole number so this triangle is not right

angled.

12

y5

y2=5x5+12x1225+144=169

y2=169y=13

Because the answer is a whole number, so this is a right angled

triangle

Thursday, April 5, 2012

• Pythagorean triples

The strategy of this is C2=A2+B2

or CxC=AxA+BxB

We use this strategy to find the diagonal side of a triangle.

?

Thursday, April 5, 2012

Recommended ##### srJ'v - although finding s~lutioliS to Py}hagoras thcore1p, also called Pythagorean triples, was relatively
Documents ##### The Pythagorean triples whose hypotenuse and the sums of the legs are squares
Documents ##### Solving and Verifying the boolean Pythagorean Triples ... marijn/publications/ptn.pdfSolving and Verifying the boolean Pythagorean Triples problem via ... Schur Theorem  on sum-free
Documents ##### Becky Afghani, LBUSD Math Curriculum Office, 2004 Pythagorean Triples Beat the Computer Drill
Documents ##### 5 Day Unit Plan Launch, Explore, Summarize Pythagorean Triples: The Pythagorean Theorem states taht:
Documents ##### MS. CHOUCAIR'S Algebra WE The most common Pythagorean triples are in bold. The other triples are the
Documents ##### Chapter 14 Pythagorean Packets/Chapter 14... Pythagorean triples are three numbers that always work
Documents ##### Pythagorean Triples and A New Pythagorean Theorem arXiv ... arXiv:math/0701554v2 [math.HO] 22 May 2007
Documents ##### Number Theory, Lecture 8 - Number Theory, Lecture 8 Jan Snellman Pythagorean triples De nition, primitive
Documents Documents