keyandzay
keyandzay keyandzay
  • 28-12-2020
  • Mathematics
contestada

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
X

For the following right triangle find the side length x Round your answer to the nearest hundredth X class=

Respuesta :

jimrgrant1 jimrgrant1
  • 28-12-2020

Answer:

x ≈ 13.42

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, that is

x² + 12² = 18²

x² + 144 = 324 ( subtract 144 from both sides )

x² = 180 ( take the square root of both sides )

x = [tex]\sqrt{180}[/tex] ≈ 13.42 ( to the nearest hundredth )

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