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prohojiy [21]
3 years ago
8

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

Mathematics
1 answer:
snow_lady [41]3 years ago
6 0

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

b. \displaystyle \frac{1}{2}hb, \frac{1}{2}bh, or\: \frac{bh}{2} = A

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.

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