Using the pythagorean theorem, how do you solve for the missing side given a = 14 and b = 13?

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Using the pythagorean theorem, how do you solve for the missing side given a = 14 and b = 13?

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Answer 1 · 2016-04-12T13:35:59

$c = \sqrt{a^{2} + b^{2}} = \sqrt{14^{2} + 13^{2}} = \sqrt{365} ≅ 19.1$ $c=sqrt(a^2 + b^2) = sqrt(14^2 + 13^2) =sqrt(365) ~= 19.1$

Explanation:

The Pythagorean Theorem applies to right angle triangles, where the sides $a$ $a$ and $b$ $b$ are those which intersect at right angle. The third side, the hypotenuse, is then $c$ $c$

![http://www.johncmccloskey.com/math-topics/the-pythagorean-theorem/]( useruploads.socratic.org )

In our example we know that $a = 14$ $a=14$ and $b = 13$ $b=13$ so we can use the equation to solve for the unknown side $c$ $c$ :

$c^{2} = a^{2} + b^{2}$ $c^2 = a^2 + b^2$

or

$c = \sqrt{a^{2} + b^{2}} = \sqrt{14^{2} + 13^{2}} = \sqrt{365} ≅ 19.1$ $c=sqrt(a^2 + b^2) = sqrt(14^2 + 13^2) =sqrt(365) ~= 19.1$

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Using the pythagorean theorem, how do you solve for the missing side given a = 14 and b = 13?

1 Answer

Explanation:

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