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Pythagorean triples Thursday, April 5, 2012

# Pythagorean triples

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• 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

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