Question

Identify each group of segments that can form a right triangle. Select all

that apply. *
7, 24, 25
9, 40, 41
24, 69, 74
39, 52, 65
8, 15, 19
11. 60, 61
30, 60, 68
40, 42, 58

Answer 1

• 1, 2, 4, 6, 8

Explanation:

Right triangles have a property of:

• c² = a² + b², as per Pythagorean

Let's try each group:

1. 25² - 24² = (25+24)(25-24) = 49 = 7² - yes
2. 41² - 40² = (41 + 40)(41-40) = 81 = 9² - yes
3. 74² - 69² = (74 + 69)(74 - 69) = 143*5 ≠ 24² - no
4. 65² - 52² = (65 + 52)(65 - 52) = 117*13 = 13*9*13 = 39² - yes
5. 19² - 15² = (19 + 15)(19 - 15) = 34*4 = 17*8 ≠ 8² - no
6. 61² - 60² = (61+60(61 - 60) = 121 = 11² - yes
7. 68² - 60² = (68 + 60)(68 - 60) = 128*8 ≠ 30² - no
8. 58² - 42² = (58 + 42)(58 - 42) = 100*16 = 40² - yes