Question

Connect A, B, and C to make a closed polygon.​

Answer 1

c. 4 + 4√2 units

b. four square units

a. AB ___2√2____ BC ___2√2____ AC ___4___

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 isosceles right triangle. With that being said, you have this:

`\displaystyle 2[2√(2)] + 4 = 4√(2) + 4`

b.
`\displaystyle (1)/(2)hb, (1)/(2)bh, or\: (bh)/(2) = A`

The height is two units, just so you know.

a. BC and AB are equivalent in length, so they both receive 2√2, then AC is the simple one at four units.

I am joyous to assist you anytime.