Reciprocity and contrapositive in the Pythagorean theorem

By Samuel Awadhifo Ayibho

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.

• Format: Paperback
• Language: English
• ISBN: 620789832X
• ISBN13: 9786207898329
• Release Date: July 2024
• Publisher: Our Knowledge Publishing
• Length: 60 Pages
• Weight: 0.22 lbs.
• Dimensions: 0.1" x 6.0" x 9.0"