Question

Which of the following sets of numbers could represent the three sides of a right triangle?

\{49,64,80\}{49,64,80}
\{45,60,75\}{45,60,75}
\{48,55,72\}{48,55,72}
\{34,56,65\}{34,56,65}

Answer 1

In right triangle:

a² + b² = c²


49 , 64 , 80

80² = 6400

49² + 64² = 2401 + 4096 = 6497 ≠ 80²


45 , 60 ,75

75² = 5625

45² + 60² = 2025 + 3600 = 5625 = 75²


48 , 55 , 72

72² = 5184

48² + 55² = 2304 + 3025 = 5329 ≠ 72²


34 ,56 , 65

65² = 4225

34² + 56² = 1156 + 3136 = 4292 ≠ 65²


So 45 , 60 ,75 are sides of a right triangle.


Remark:

≠ means different from

Answer 2

You can save yourself some calculation by learning a few of the basic Pythagorean triples, such as
3-4-5, 5-12-13, 8-15-17, 7-24-25
and their multiples.

Answer 3

this isnt working

Answer 4

Which of the following sets of numbers could not represent the three sides of a right triangle? (57,76,95) ( 10,25,26) (65,72,97) (18,80,82)

Answer 5

ratio