Question 705598

let the hypotenuse be {{{c}}},and legs {{{a}}} and {{{b}}}

given:
{{{a=8}}} and {{{b=15}}}

since we have a right triangle, we will use Pythagorean theorem to find the length of the hypotenuse

{{{c^2=a^2+b^2}}}.......plug in given values for {{{a}}} and {{{b}}}

{{{c^2=8^2+15^2}}}

{{{c^2=64+225}}}

{{{c^2=289}}}

{{{c=sqrt(289)}}}...we will use only positive root because the length of  the hypotenuse cannot be negative number

{{{highlight(c=17)}}}...so,the length of the hypotenuse is {{{17}}} units in length