yuuriic yuuriic
  • 19-09-2020
  • Mathematics
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in the 40-60-90 triangle below, side s has a length of ___ and side q has a length of __​

in the 406090 triangle below side s has a length of and side q has a length of class=

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Hrishii
Hrishii Hrishii
  • 19-09-2020

Answer:

D. [tex] 5,\: 5\sqrt 3[/tex]

Step-by-step explanation:

According to the 30°-60°-90° triangle theorem:

Side opposite to 30° is half of hypotenuse and side opposite to 60° is [tex] \frac{\sqrt 3}{2} [/tex] times of hypotenuse.

In the given figure:

side s is opposite to 30° angle.

[tex] \therefore s = \frac{1}{2} \times 10= 5\\[/tex]

side q is opposite to 60° angle.

[tex] \therefore q =\frac{\sqrt 3}{2} \times 10= 5\sqrt 3\\[/tex]

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