dmontoya1200 dmontoya1200
  • 16-06-2021
  • Mathematics
contestada

In triangle RST, angle R is a right angle. If TR = 6 and TS = 8, what is the length of RS

Respuesta :

jimrgrant1 jimrgrant1
  • 16-06-2021

Answer:

RS = 2[tex]\sqrt{7}[/tex]

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

RS² + RT² = TS² , that is

RS² + 6² = 8²

RS² + 36 = 64 ( subtract 36 from both sides )

RS² = 28 ( take the square root of both sides )

RS = [tex]\sqrt{28}[/tex] = [tex]\sqrt{4(7)}[/tex] = 2[tex]\sqrt{7}[/tex] ≈ 5.3 ( to 1 dec. place )

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