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Prove that in a right triangle, the side that is opposite to a 30 degree angle = 1/2 hypotenuse.

Giving brainliest (if possible) + 60 pts.

Respuesta :

semsee45

Answer:

This can be proved in a number of different ways, but the simplest is to use the sine trig ratio:

[tex]sin(\theta)=\dfrac{O}{H}[/tex], where [tex]\theta[/tex] is the angle, O is the side opposite the angle and H is the hypotenuse.

Given the angle is 30°:

[tex]\implies sin(30)=\dfrac{O}{H}[/tex]

[tex]\implies \dfrac12=\dfrac{O}{H}[/tex]

[tex]\implies O=\dfrac12H[/tex]

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