Heeyleam
Heeyleam Heeyleam
  • 21-11-2021
  • Mathematics
contestada

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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