Converse of the Pythagorean Theorem
The converse of the Pythagorean Theorem helps you to find out if a triangle is a right triangle.
Basically, the converse states that whenever the sum of the squares of two sides equal to the square of the third side of the triangle,
the triangle is a right triangle.
For example, given the following 3 sides , is the triangle right?
4, 5, 3
Is 5
^{2} = 4
^{2} + 3
^{2} ?
5
^{2} = 25 and 4
^{2} + 3
^{2} = 16 + 9 = 25
Since 25 = 25, the triangle is a right triangle.
Other examples:
1)
Do the sides 6, 8, and 10 form a right triangle?
Is 10
^{2} = 6
^{2} + 8
^{2} ?
10
^{2} = 100 and 6
^{2} + 8
^{2} = 36 + 64 = 100
Since 100 = 100, the triangle is a right triangle.
2)
Do the sides 9, 12, and 15 form a right triangle?
Is 15
^{2} = 9
^{2} + 12
^{2} ?
15
^{2} = 255 and 12
^{2} + 9
^{2} = 144 + 81 = 225
Since 255 = 255, the triangle is a right triangle.
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Sep 17, 20 03:57 PM
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