dflemming dflemming
  • 20-06-2019
  • Mathematics
contestada

can (2,3 and square root 10) be sides ona right triangle?

Respuesta :

dinolocochavez dinolocochavez
  • 20-06-2019

Answer:

No

Step-by-step explanation:

1. So we have a triangle

(2,3,√10)   or   (2,3, 3.16)

√10 is the greatest so it must be the hypotenuse if the right triangle

2. Use the Pythagorean Theorem

[tex]a^2+b^2=c^2\\2^2+3^2=(\sqrt{10} )^{2} \\4+9=10\\4+9\neq 10\\[/tex]

3. Because [tex]a^2+b^2[/tex] are not equal to [tex]c^2[/tex], this is not a right triangle.

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