karoebuck2930 karoebuck2930
  • 26-02-2021
  • Mathematics
contestada

What is the value of x

What is the value of x class=

Respuesta :

clarch19
clarch19 clarch19
  • 27-02-2021

Answer:

x = 15

Step-by-step explanation:

according to Altitude Theorem, we can set up this proportion:

9/RT = RT/16

RT² = 9(16)

RT² = 144

RT = [tex]\sqrt{144}[/tex]

RT = 12

In right triangle STR, we can find 'x' by using the Pythagorean Theorem:

9² + 12² = x²

81 + 144 = x²

225 = x²

x = √225 = 15

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