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(a) use the pythagorean theorem to determine the length of the unknown …

Question

(a) use the pythagorean theorem to determine the length of the unknown side of the triangle, (b) determine the perimeter of the triangle, and (c) determine the area of the triangle. the figure is not drawn to scale.

a. the length of the unknown side is
(type a whole number.)

b. the perimeter of the triangle is
(type a whole number.)

c. the area of the triangle is
(type a whole number.)

Explanation:

Find the unknown side length

$$ LATEXBLOCK0 $$

Calculate the perimeter of the triangle

$$ LATEXBLOCK1 $$

Calculate the area of the triangle

$$ LATEXBLOCK2 $$

Answer:

Question a

The length of the unknown side is <blank>12</blank> <blank>km</blank>.

Question b

The perimeter of the triangle is <blank>36</blank> <blank>km</blank>.

Question c

The area of the triangle is <blank>54</blank> <blank>\(\text{km}^2\)</blank>.