Heeyleam
Heeyleam Heeyleam
  • 21-11-2021
  • Mathematics
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Find the length of the third side. If necessary, write in simplest radical form.

Find the length of the third side If necessary write in simplest radical form class=

Respuesta :

jimrgrant1 jimrgrant1
  • 21-11-2021

Answer:

third side = 6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let the third side be x , then

x² + 4² = (2[tex]\sqrt{13}[/tex] )²

x² + 16 = 52 ( subtract 16 from both sides )

x² = 36 ( take square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6

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