bjbass899 bjbass899
  • 01-02-2019
  • Mathematics
contestada

Is a triangle with sides of length 6ft, 21 ft, 23 ft. A right triangle?

Respuesta :

boffeemadrid
boffeemadrid boffeemadrid
  • 01-02-2019

Answer:

No

Step-by-step explanation:

By using the Pythagoras theorem, it can be easily determined that whether the triangle is right triangle or not.

Thus, [tex]a^{2}+b^{2}=c^{2}[/tex] where where a and b are the legs and c is the hypotenuse.

Let a=6ft, b=21ft and c=23ft, then

[tex]a^{2}+b^{2}=c^{2}[/tex]

[tex](6)^{2}+(21)^{2}=(23)^{2}[/tex]

[tex]36+441=(23)^{2}[/tex]

[tex]477=529[/tex]

which is not possible, therefore the given triangle is not right triangle because it does not satisfy the Pythagoras theorem.


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