Baedayz
Baedayz Baedayz
  • 13-03-2019
  • Mathematics
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What is the length of SU? Round to the nearest tenth.

What is the length of SU Round to the nearest tenth class=

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gmany
gmany gmany
  • 14-03-2019

Answer:

SU = 3.5

Step-by-step explanation:

We have the triangle 30° - 60° - 90°.

Right triangles with 30-60-90 angles will have their ratio of the sides as

1 : √3 : 2   (look at the picture).

We have:

SR : SU : RU = 1 : √3 : 2

Therefore RU = 2SR and SU = SR√3.

We have RU = 4. Substitute:

2SR = 4       divide both sides by 2

SR = 2

SU = 2√3 ≈ 2(1.73) = 3.5

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