Question 888314
what is the hypotenuse of a right triangle whose base is 12 in and whose height is 14 in

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Use the <a href="http://www.mathsisfun.com/pythagoras.html">Pythagorean Theorem</a> and solve for c to get:

<pre>
	{{{a^2 + b^2 = c^2}}}


	{{{12^2 + 14^2 = c^2}}}


	{{{144 + 196 = c^2}}}


	{{{340 = c^2}}}


	{{{c^2=340}}}


	{{{c=sqrt(340)}}}


	{{{c=sqrt(4*85)}}}


	{{{c=sqrt(4)*sqrt(85)}}}


	{{{c=2*sqrt(85)}}}


	{{{c=18.4390889}}}
</pre>


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Answer: 



The hypotenuse is exactly {{{2*sqrt(85)}}} units long


The hypotenuse is approximately {{{18.4390889}}} units long