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# Pythagorean Theorem and Its Converse

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on 7 January 2014

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#### Transcript of Pythagorean Theorem and Its Converse

Pythagorean Theorem and Its Converse
Pythagorean Triple
set of lengths of the sides of a triangle satisfying the converse of the Pythagorean Theorem
a = 5
b = 12
c = 13
CONVERSE OF
PYTHAGOREAN
THEOREM
IF THE SQUARE OF THE LENGTH OF ONE SIDE OF A TRIANGLE EQUALS THE SUM OF THE SQUARES OF THE LENGTHS OF THE OTHER TWO SIDES, THEN THE TRIANGLE IS A RIGHT TRIANGLE.
a = 4
b = sqrt 67
c = 9
a = 8
b = 15
c = 19
a = 10
b = 11
c = 14
Pythagorean Theorem
- In any right triangle, the square of the length of the hypotenuse (c) equals the sum of the squares of the lengths of the legs (a and b). In symbols .
a = 3
b = 4
c = 5
a = 27
b = 36
c = 45
a = 6
b = 8
c = 10
a = 5
b = 12
c = 13
a = 9
b = 12
c = 15
Am I a Right Triangle?
a = 18
b = 24
c = 30