Question 726330
Any triangle whose legs' lengths ratio is 5:12 is similar to a triangle with legs measuring 5 feet and 12 feet.
The length (in feet) of the hypotenuse of that triangle can be calculated using the Pythagorean theorem as
{{{sqrt(5^2+12^2)=sqrt(25+144)=sqrt(169)=13}}}

A triangle with a hypotenuse measuring 65 feet is a 5-fold scale-up of the triangle with sides measuring 5, 12, and 13 feet.
Its sides measure
{{{5*5feet=highlight(25feet)}}} ,
{{{5*12feet=highlight(60feet)}}} ,
and {{{5*13feet=65feet}}} .