tomatosoup42093 tomatosoup42093
  • 12-05-2021
  • Mathematics
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what is the length for the 3rd side? write in simplest radical form if needed

what is the length for the 3rd side write in simplest radical form if needed class=

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jimrgrant1 jimrgrant1
  • 12-05-2021

Answer:

10

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

Let the third side be x , then

x² + 6² = (2[tex]\sqrt{34}[/tex] )²

x² + 36 = 136 ( subtract 36 from both sides )

x² = 100 ( take the square root of both sides )

x = [tex]\sqrt{100}[/tex] = 10

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