Reciprocity and contrapositive in the Pythagorean theorem (Paperback) (ISBN-13: 9786207898329)

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.

Author: Samuel Awadhifo Ayibho
ISBN-10: 620789832X
ISBN-13: 9786207898329
Publisher: Our Knowledge Publishing
Language: English
Published: 07/31/2024
Pages: 60
Format: Paperback
Weight: 0.22lbs
Size: 9.00h x 6.00w x 0.14d