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1. One section of the island-to be sampled by researchers to develop a census of
tortoises-is a large square, with a side length of 1 kilometer. Researchers intend to
place infrared cameras throughout, including along the diagonal of the square. What is
the length of the diagonal of this square, expressed in kilometers (rounded to the
nearest tenth of a kilometer)? Place the length of the diagonal in the orange chart
below.
Formula Used:
Pythagorean Theorem: a² + b² = ²
Volume of a Cylinder: V = r²h
Area of a Circle: A = ²
Answer:



Answer :

Using the Pythagorean Theorem, the length of the diagonal of the square is of 1.4 km.

What is the Pythagorean Theorem?

The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:

[tex]h^2 = l_1^2 + l_2^2[/tex]

The diagonal of an square is the hypotenuse in a right triangle which has the side length as two legs.

In this problem, we have that the side length is of 1 km, hence the diagonal is found as follows:

d² = 1² + 1²

d² = 2

d = sqrt(2)

d = 1.4 km.

The length of the diagonal of the square is of 1.4 km.

More can be learned about the Pythagorean Theorem at https://brainly.com/question/654982

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