The area of a square is 81 square centimeters. First finde the length of a side. Then find the length of the diagonal
Answers
Answered by
0
Step-by-step explanation:
Explanation:
The formula for area of a square is:
s
2
=
A
where A=area and s=length of a side.
Hence:
s
2
=
81
s
=
√
81
Since
s
has to be a positive integer,
s
=
9
Since the diagonal of a square is the hypotenuse of a right-angled triangle formed by two adjacent sides, we can calculate the length of the diagonal using the Pythagorean Theorem:
d
2
=
s
2
+
s
2
where d=length of the diagonal and s=length of a side.
d
2
=
9
2
+
9
2
d
2
=
81
+
81
d
2
=
162
d
=
√
162
d
=
12.73
Answered by
1
Answer:
The answer is 9 cm. I hope that is right.
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