Find the missing side of each triangle. Round your answers to the nearest tenth if necessary. (Please Show your work)

Find the missing side of each triangle Round your answers to the nearest tenth if necessary Please Show your work class=

Respuesta :

Answer:

11.2 mi

Step-by-step explanation:

1. We can use the Pythagorean Theorem (a^2 + b^2 = c^2) to find the missing leg, b, of the triangle.

  • [tex]9^2 + b^2 = 14.4^2[/tex]

2. (Solving)

Step 1: Simplify both sides of the equation.

  • [tex](9*9)+b^2 = 14.4 * 14.14[/tex]
  • [tex]81 + b^2 = 207.36[/tex]  
  • [tex]b^2 + 81 = 207.36[/tex]

Step 2: Subtract 81 from both sides.

  • [tex]b^2 + 81 - 81 = 207.36-81[/tex]
  • [tex]b^2 = 126.36[/tex]

Step 3: Take the square root of both sides and round to the nearest tenth.

  • [tex]\sqrt{b^2} = \sqrt{126.36}[/tex]
  • [tex]b = \sqrt{126.36}[/tex]
  • b ≈ 11.2

Therefore, x = 11.2 mi.

>> Answer

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[tex] \: [/tex]

[tex]\boxed{ \rm{answer \: by \: { \boxed{ \rm{☆HayabusaBrainly}}}}}[/tex]

  • Step by step :

x² = (14,4)² - (9)²

x² = 207,36 - 81

x² = 126,36

x = 11,2mi✔