Question

write the triples in parentheses, without spaces between the numbers, and with a comma between numbers. write the triples in order from least to greatest. type the correct answer in each box. chart with columns x - value and pythagorean triple, rows: 3 (empty), (empty) (8,15,17), 5 (empty), (empty) (12,35,37)

Explanation:

Step1: Identify triple for x=3

The smallest Pythagorean triple with 3 is (3,4,5), since $3^2 + 4^2 = 5^2$ ($9+16=25$).

Step2: Find x for (8,15,17)

The smallest number in the triple is 8, so x=8.

Step3: Identify triple for x=5

The standard Pythagorean triple with 5 is (5,12,13), since $5^2 + 12^2 = 13^2$ ($25+144=169$).

Step4: Find x for (12,35,37)

The smallest number in the triple is 12, so x=12.

Answer:

1. (3,4,5)
2. 8
3. (5,12,13)
4. 12