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Determine the length of the unknown side of the right triangle. If it is not an exact answer, what integer is it closest to? (Don't forget to include units!)​

Determine the length of the unknown side of the right triangle If it is not an exact answer what integer is it closest to Dont forget to include units class=

Respuesta :

Answer:

12in

Step-by-step explanation:

15in squared - 9in squared is 144in and the square root of 144 is 12

semsee45

Answer:

12 in

Step-by-step explanation:

Pythagoras' Theorem:  a² + b² = c²

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

let x = unknown side

Given:

  • a = x
  • b = 9
  • c = 15

Substituting the given values into the equation:

⇒ x² + 9² = 15²

⇒ x² + 81 = 225

⇒ x² + 81 - 81 = 225 - 81

⇒ x² = 144

⇒ x = √(144)

⇒ x = ±12

As the length is positive, x = 12 only.

Therefore, the length of the unknown side is 12 in.

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