Mathematics: Find the unknown side length. simplify answers that are radicals . tell whether the side lengths form a pythagorean triple

Find the unknown side length. simplify answers

Ответ:

amandarenee4296

05.01.2022

We use the Pythagorean Theorem to answer this:
a²+b²=c²
In our case,
$(\sqrt{7})^2+b^2=(\sqrt{19})^2$
7+b^2=19

Subtract 7 from each side:
$7+b^2-7=19-7
\\b^2=12$
Take the square root of both sides:
$\sqrt{b^2}=\sqrt{12}=\sqrt{4*3}=2\sqrt{3}$
Although these numbers work in the Pythagorean theorem, they are not Pythagorean triples, as they are not integers.

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Ответ:

dranio

30.01.2022

Mathematics

8 48

11 66

15 90

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Find the unknown side length. simplify answers that are radicals . tell whether the side lengths form a pythagorean triple

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