Question 865266
A picture will help show that, if base is x, then altitude is x/2.
Area, {{{highlight_green(36=(1/2)(base)(altitude))}}}
{{{(1/2)x(x/2)=36}}}
{{{(x^2/4)=36}}}
{{{x=12}}} and altitude is {{{x/2=6}}}
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The triangle is TWO right triangles, each leg is 6 inches.
Hypotenuse is the length of each of the two equal sides of the ISOSCELES triangle.
{{{(hypotenuse)^2=6^2+6^2}}}
{{{hypotenuse=sqrt(72)}}} or {{{sqrt(2*36)=6sqrt(2)}}}
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Perimeter of the isosceles triangle is {{{2*6sqrt(2)+12}}}
perimeter is {{{highlight(12sqrt(2)+12)}}}