Answer:
Step-by-step explanation:
The Pythagorean theorem can be used to find the lengths of the segments at the top of the square. The left one is found from ...
FA² = FE² +EA²
13² -12² = EA² = 169 -144 = 25
EA = √25 = 5
The right one is found from ...
FB² = FE² +EB²
15² -12² = EB² = 225 -144 = 81
EB = √81 = 9
Then the length of the side of the square is ...
AB = AE +EB = 5 +9
AB = 14
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The length of the diagonal can also be found using the Pythagorean theorem.
AC² = AB² +BC² = 14² +14²
AC = √(196 +196) = 14√2 ≈ 19.7990
Rounded to the nearest integer, AC ≈ 20.
