Question 945968

to determine if sides of length {{{3in}}} , {{{4in}}} , and {{{5in}}} make a right triangle, use Pythagorean theorem:


as soon as I see the sides length, I say the answer is {{{yes}}}, because it is a Pythagorean triple or triad (called "the 3-4-5 triangle")

check:

let {{{3in}}} be side {{{a}}}

{{{4in}}} side {{{b}}} 

and {{{5in}}} side {{{c}}}

then {{{c^2=a^2+b^2}}}

{{{(5in)^2=(3in)^2+(4in)^2}}}

{{{25in^2=9in^2+16in^2}}}

{{{25in^2=25in^2}}}=> so, {{{3in}}} , {{{4in}}} , and {{{5in}}} does make a right triangle