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nevsk [136]
3 years ago
6

In triangle ABC, the side lengths are AB = 13, AC = 21, and BC = x. Write a compound inequality that represents the range of pos

sible values for x.
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Mathematics
1 answer:
N76 [4]3 years ago
7 0

There is only 1 solution for the length of BC.

We can calculate it using Pythagorean theorem.

We can conclude that triangle's hypotenuse is AC.

AC^2=AB^2+BC^2

If that is the case we are looking for a side BC.

BC=\sqrt{AC^2-AB^2}

Now put in the data.

BC=\sqrt{21^2-13^2}=\sqrt{272}=\sqrt{272}\approx\boxed{16.49}

Hope this helps.

r3t40

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