mariacolladomap0gulc
mariacolladomap0gulc mariacolladomap0gulc
  • 13-11-2021
  • Mathematics
contestada

(A) use the Pythagorean theorean to determine the length of the unknown side of the triangle

A use the Pythagorean theorean to determine the length of the unknown side of the triangle class=

Respuesta :

tot1466
tot1466 tot1466
  • 13-11-2021

Answer:

a. = 36km

b. Perimeter = 108km

c. Area = 486km^2

Step-by-step explanation:

Pythagoras theorem

a^2 + b^2 = c^2

27^2 + b^2 = 45^2

b^2 = 45^2 - 27^2

b^2 = 1296

b = [tex]\sqrt{1296}[/tex]

b = 36km

Perimeter

a + b + c

27 + 36 + 45 = 108

Perimeter = 108km

Area = [tex]\frac{ab}{2}[/tex]

Area = [tex]\frac{27 * 36}{2}[/tex]

Area = [tex]\frac{972}{2}[/tex]

Area = 486km^2

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