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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Reciprocity and contrapositive in the Pythagorean theorem

Reciprocity and contrapositive in the Pythagorean theorem

Awadhifo Ayibho, Samuel

Paperback

General Mathematics

ISBN10: 620789832X
ISBN13: 9786207898329
Publisher: Our Knowledge Publishing
Published: Jul 31 2024
Pages: 60
Weight: 0.22
Height: 0.14 Width: 6.00 Depth: 9.00
Language: English
The reciprocal of the Pythagorean theorem is the same as explaining that a triangle is right-angled. For example, consider a triangle whose lengths are 3, 4 and 5. To explain that this triangle is a right-angled triangle, we need to use the reciprocal of the Pythagorean theorem. On the one hand, we have 32+42=9+16=25. On the other hand, it's true that 52=25. So 32+42=52 and, by the reciprocal of the Pythagorean theorem, it's a right-angled triangle. If we want to explain that a triangle is a right-angled triangle, we need to sum the squares of the two shortest lengths and check whether this sum is equal to the square of the longest side.

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