Respuesta :

Answer:

x = 15

Step-by-step explanation:

I used the pythagorean theorem on BAC triangle

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ;)

Ver imagen BrainyAlice28

The length of BC is 15 units.

In the right triangle ABC.

we have AC = 8 units and AB = 17 units.

We need to find the length of BC using the Pythagorean theorem.

What is the Pythagorean theorem?

It states that in a right-angled triangle the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In the given right-angle triangle ABC.

We have,

AB = hypotenuse and the other two sides are AC and BC.

Applying the Pythagorean theorem.

We get,

[tex]AB^{2} = AC^2 +BC^2[/tex]

Now substitute AC = 8 and AB = 17.

[tex]17^2=8^2+BC^2\\289=64+BC^2\\BC^2=289-64\\BC^2=225\\BC=\sqrt{225}\\ BC=15 ~units.[/tex]

Thus, we have the length of BC as 15 units.

Learn more about finding length in a right-angle triangle here:

https://brainly.com/question/13515866

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