Respuesta :

Using the Pythagorean Theorem, it is found that the unknown side length of the triangle is of 7.9 cm.

What is the Pythagorean Theorem?

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

Researching this problem on the internet, we have that:

  • The unknown side length is of a leg of x.
  • The other leg is of 9 cm.
  • The hypotenuse is of 12 cm.

Hence:

x² + 9² = 12²

x = sqrt(12² - 9²)

x = 7.9 cm.

The unknown side length of the triangle is of 7.9 cm.

More can be learned about the Pythagorean Theorem at https://brainly.com/question/654982

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