shell9amahbhansmine
shell9amahbhansmine shell9amahbhansmine
  • 15-08-2016
  • Mathematics
contestada

Using Pythagorean inequalities, determine which of the following sets of values could represent the lengths of the sides of an obtuse triangle.

A. 11, 12, 22
B. 5, 12, 13
C. 7, 8, 9
D. 5, 6, 1

Respuesta :

HomertheGenius
HomertheGenius HomertheGenius
  • 18-08-2016
We have to plug in each set into the Pythagorean theorem:
A ) 11² + 12²    ? 22²
      121 + 144 ?  484
      265 < 484  ( obtuse )
B )  5² + 12² ? 13²
      25 + 144 = 169  ( right triangle )
C ) 7² + 8² ? 9²
     49 + 64 ? 81
      113 > 81   ( acute )
D )  1 + 5 = 6  ( not a triangle )
Answer : A ) 11, 12, 22 
Answer Link

Otras preguntas

solve using elimination, 2x+5y=2   3x-5y=53
Describe how the Hawaiian Islands were formed and how they are evidence for mantle plumes.
solve using elimination, 2x+5y=2   3x-5y=53
3. The value of the expression 5.104 + 4.103 + 7.10 + 1 is equal to:
Describe how the Hawaiian Islands were formed and how they are evidence for mantle plumes.
solve using elimination, 2x+5y=2   3x-5y=53
what is 7/5 as a decimal number
solve using substitution, y=2x+5   y=6x+1
Describe how the Hawaiian Islands were formed and how they are evidence for mantle plumes.
solve using elimination, 2x+5y=2   3x-5y=53