Answer:

Step-by-step explanation:
Split up this Isosceles, Right Triangle into two congruent smaller right triangles. The reflexive side [the line that splits them apart] is 6 units, and both legs are 8 units, leaving the hypotenuses to AUTOMATICALLY be 10 units, according to the Pythagorean Theorem:

With this Pythagorean Triple, we know that our dimensions are correct. Now, to find the perimeter, just add up all the sides EXCEPT for the divider:
![\displaystyle 2[10] + 2[8] = 20 + 16 = 36](https://tex.z-dn.net/?f=%5Cdisplaystyle%202%5B10%5D%20%2B%202%5B8%5D%20%3D%2020%20%2B%2016%20%3D%2036)
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