How do you find the missing length for the right triangle below the short side is 9cm and the hypotenuse is 30 cm?

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How do you find the missing length for the right triangle below the short side is 9cm and the hypotenuse is 30 cm?

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Answer 1 · 2016-04-21T11:17:14

28.62cm

Explanation:

The Pythagorean theorem is this: $a^{2} + b^{2} = c^{2}$ $a^2+b^2=c^2$ , where $c$ $c$ is the hypotenuse (which is the longest side and is opposite the right angle), and $a$ $a$ and $b$ $b$ are the other sides. Given the information we have, we can say that:
$9^{2} + b^{2} = 30^{2}$ $9^2+b^2=30^2$ , where $b$ $b$ is the unknown side.
Now its a matter of rearranging and solving:
$b^{2} = 30^{2} - 9^{2}$ $b^2=30^2-9^2$
$b^{2} = 900 - 81$ $b^2=900-81$
$b^{2} = 819$ $b^2=819$
$b = \sqrt{28.618}$ $b=sqrt(28.618)$
And if you type that into your calculator you'll get $b = 28.62 c m$ $b=28.62cm$ (Don't forget units)

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How do you find the missing length for the right triangle below the short side is 9cm and the hypotenuse is 30 cm?

1 Answer

Explanation:

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