Answer:
no
Explanation:
A set of three integers that can be the lengths of the sides of a right triangle is called a Pythagorean triple. The simplest Pythagorean triple is the set “3, 4, 5.” These numbers are the lengths of the sides of a “3-4-5” Pythagorean right triangle. The list below contains all of the Pythagorean triples in which no number is greater than 50.
3, 4, 5
5, 12, 13 6, 8, 10
7, 24, 25 8, 15, 17 9, 12, 15 9, 40, 41 10, 24, 26 12, 16, 20 12, 35, 37
14, 48, 50 15, 20, 25 15, 36, 39 16, 30, 34 18, 24, 30 20, 21, 29 21, 28, 35 24, 32, 40 27, 36, 45 30, 40, 50
Example Problems
Find the length of the missing side.
13 25 x7
12 x
From the list above, the missing From the list above, the missing side is “5” side is “24”
Show why the set “6,8,10” is a Pythagorean triple.
c2 = a2 + b2 102 =82 +62 100 = 64 + 36 100 = 100
Since the Pythagorean equation is satisfied, the set “6,8,10” is a Pythagorean triple.