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