dayanna94
dayanna94 dayanna94
  • 01-03-2021
  • Mathematics
contestada

Find the length of the third side. If necessary, round to the nearest tenth.
6
14

Find the length of the third side If necessary round to the nearest tenth 6 14 class=

Respuesta :

jimrgrant1 jimrgrant1
  • 01-03-2021

Answer:

≈ 12.6

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 x be the third side, then

x² + 6² = 14²

x² + 36 = 196 ( subtract 36 from both sides )

x² = 160 ( take the square root of both sides )

x = [tex]\sqrt{160}[/tex] ≈ 12.6 ( to the nearest tenth )

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