Question 557594
<br><font face="Tahoma">We can go directly to the Pythagorean Theorem on this one:<br>

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

where a and b are the legs of the triangle, and c is the hyptotenuse of the triangle.<br>

Given legs of 4 ft and 7 ft, we have:<br>

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

{{{4^2+7^2=c^2}}}<br>

{{{16+49=c^2}}}<br>

{{{65=c^2}}}<br>

{{{c=sqrt(65)}}} or {{{c=-sqrt(65)}}}<br>

Since we are talking about distances, we can ignore the negative solution.<br>

Thus, our anwer is:<br>

The length of the hypotenuse is exactly {{{sqrt(65)}}} ft long.<br>

This is approximately 8.06 ft, which makes sense given our triangle.<br>

I hope this helps!  :)<br>

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