BRIANR324 BRIANR324
  • 22-06-2022
  • Mathematics
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What is the length of the hypotenuse? If necessary, round to the nearest tenth.

What is the length of the hypotenuse If necessary round to the nearest tenth class=

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devishri1977
devishri1977 devishri1977
  • 22-06-2022

Answer:

c = 37 mi

Step-by-step explanation:

Pythagorean theorem:

   To find 'c' use Pythagorean theorem.

 [tex]\sf \boxed{\bf hypotenuse^2 = base^2 + altitude^2}[/tex]

                     c² = 35² + 12²

                         =1225 + 144

                        = 1369

                    [tex]\sf c = \sqrt{1369}\\\\ c = \sqrt{37*37}\\\\ \boxed{\bf c = 37 \ mi}[/tex]

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