Question

The length of one leg of an isosceles right triangle is 3 ft . what is the perimeter of the triangle

Answer 1

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 2

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