damieamezcua
damieamezcua damieamezcua
  • 14-04-2020
  • Mathematics
contestada

17.
A triangle has side lengths of 80 cm, 39 cm, and 89 cm. Is the triangle acute, obtuse, or right?
(1 point)
right
acute
obtuse
m2

Respuesta :

jimthompson5910 jimthompson5910
  • 14-04-2020

Answer: Right triangle

=======================================================

Work Shown:

Let a,b,c be the sides of a triangle such that a < b < c. In our case,

a = 39

b = 80

c = 89

which means,

a^2+b^2 = 39^2+80^2 = 7921

and

c^2 = 89^2 = 7921

Because both result in the same value (7921), we know,

39^2+80^2 = 89^2 is a true equation

a^2+b^2 = c^2 for the specified a,b,c values above

By the converse of the pythagorean theorem, this proves the three sides form a right triangle.

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