How do you find b in pythagorean theorem given a=3, c=4?

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How do you find b in pythagorean theorem given a=3, c=4?

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Answer 1 · 2016-06-01T22:29:22

Plug in, and solve!

Explanation:

The Pythagorean theorem is: $a^{2} + b^{2} = c^{2}$ $a^2 + b^2 = c^2$ .
So, we can plug in the given values (a = 3, c = 4), and solve for b.

$3^{2} + b^{2} = c^{2}$ $3^2 + b^2 = c^2$
$9 + b^{2} = 16$ $9 + b^2 = 16$
$b^{2} = 7$ $b^2 = 7$
$b = \sqrt{7}$ $b = sqrt7$

It's straightforward, plug in the numbers you know, then solve!

If you are asked to give answers in square root form, make sure you completely rationalize your solution . If you are told to give your solution in decimal form, make sure to round to the appropriate place, if required.

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How do you find b in pythagorean theorem given a=3, c=4?

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