Verified Answer :

The hypotenuse is given by
\(3^{2} + 3^{2} =Hypotenuse squared 9+9= h^{2} h= \sqrt{18}\)
Perimeter=(3+3+\(\sqrt{18}\))feet
P=6+3\(\sqrt{2} ) feet\)

Answer:

Perimeter = 6+
\(3\sqrt{2}\)  ft

Step-by-step explanation:

Since given triangle is isosceles and right therefore two equals sides are the legs of right triangle given 3 and third side Hypotenuse say (x )  

Using Pythagorean theorem , we get  

\(x^{2} = 3^{2} +3^{2} \\ = 9 + 9 \\ = 18 \\x^2 = 18 \\\)

taking square root both sides ,we get  

\(x = 3\sqrt{2}\)

Three sides of given triangles are  

3 ft ,3ft and  \(3\sqrt{2}\)

Perimeter is given by =   sum of  all three sides = 3+3+
\(3\sqrt{2}\)

                                                                              = 6 +  \(3\sqrt{2}\) ft