What is the length of BC?
9 units
11 units
15 units
16 units
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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 ;)
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.
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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