Question 739430
given:

one {{{90}}} degree angle and 

side lengths of {{{5cm}}} and {{{12cm}}}


A right isosceles triangle has a {{{90- 45- 45}}} degree angles. 

Another interesting right triangle is the 30-60-90 degree triangle. The ratio of this triangle's longest side to its shortest side is "{{{two}}} to {{{one}}}." That is, the {{{longest}}} side is {{{twice}}} as long as the {{{shortest}}} side. 

 One of the most famous is the "3, 4, 5 triangle."



However, the Pythagorean Theorem can help us to find third side if given side lengths of {{{5cm}}} and {{{12 cm}}}



assume that {{{12 cm}}} is hypotenuse {{{c}}} and {{{5cm}}} is leg {{{a}}}


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

{{{12^2=5^2+b^2}}}

{{{144=25+b^2}}}

{{{144-25=b^2}}}
{{{119=b^2}}}

{{{10.9087=b}}}.........this {{{cannot}}} be solution


let’s assume that {{{12cm}}} is leg {{{a}}} and {{{5cm}}} is leg {{{b}}}

{{{c^2=a^2+b^2}}}
{{{c^2=12^2+5^2}}}
{{{c^2=144+25}}}
{{{c^2=169}}}
{{{c=13}}}.....this {{{is}}} solution

so, you can draw one triangle with one {{{90}}} degree angle and 

sides lengths of {{{5cm}}},{{{12cm}}}, and {{{13cm}}}