Answer:
c. 4 + 4√2 units
b. four square units
a. AB ___<u>2</u><u>√2</u>____ BC <u>___2√2____</u> AC <u>___</u><u>4</u><u>___</u>
Step-by-step explanation:
c. According to the 45°-45°-90° triangle[s] theorem, where the legs are identical [√2], the diagonals form hypotenuses, so for every diagonal unit you go up, you count √2, also since this an <em>isosceles right triangle</em>. With that being said, you have this:
![\displaystyle 2[2\sqrt{2}] + 4 = 4\sqrt{2} + 4](https://tex.z-dn.net/?f=%5Cdisplaystyle%202%5B2%5Csqrt%7B2%7D%5D%20%2B%204%20%3D%204%5Csqrt%7B2%7D%20%2B%204)
b. 
The height is <em>two</em> units, just so you know.
a. <em>BC</em><em> </em>and <em>AB</em><em> </em>are equivalent in length, so they both receive 2√2, then <em>AC</em><em> </em>is the simple one at <em>four</em> units.
I am joyous to assist you anytime.