lyricajani
lyricajani lyricajani
  • 09-03-2020
  • Mathematics
contestada

Find the length of the third side of a right triangle with a hypotenuse of 17 and a leg of 10. 13.7 100 289 19.7

Respuesta :

jimrgrant1 jimrgrant1
  • 09-03-2020

Answer:

≈ 13.7

Step-by-step explanation:

Using Pythagoras' identity on 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 length of the third side, then

x² + 10² = 17², that is

x² + 100 = 289 ( subtract 100 from both sides )

x² = 189 ( take the square root of both sides )

x = [tex]\sqrt{189}[/tex] ≈ 13.7

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