Question 1071568
The two legs given are
a = 6
b = 7
The hypotenuse is unknown, so we'll say 
c = x


Let's use the pythagorean theorem to find x
{{{a^2+b^2 = c^2}}}
{{{6^2+7^2 = x^2}}}
{{{36+49 = x^2}}}
{{{85 = x^2}}}
{{{x^2 = 85}}}
{{{sqrt(x^2) = sqrt(85)}}}
{{{x = sqrt(85)}}} Note: x cannot be negative so {{{x > 0}}}
{{{x = 9.21954445729289}}}


------------------------------------------------------------------------


The exact length of the hypotenuse is {{{sqrt(85)}}} units which is approximate to {{{9.21954445729289}}} units (use a calculator to take the square root of 85). This approximate value can be rounded however your teacher or your book wants it.