deandramarie02 deandramarie02
  • 23-01-2019
  • Mathematics
contestada

In the right triangle shown, \angle A = 30^\circ∠A=30 ∘ and AB = 4AB=4. How long is BCBC?

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frika
frika frika
  • 01-02-2019

Answer:

BC=2

Step-by-step explanation:

Consider right triangle ABC with right angle C and angle A of the measure of 30°. In this triangle, AB=4.

Theorem: The leg opposite to the 30° angle is half of the hypotenuse.

Note that AB=4 is the hypotenuse, angle A has the meausre of 30°, then the leg BC is half of AB:

[tex]BC=\dfrac{1}{2}AB=\dfrac{1}{2}\cdot 4=2.[/tex]

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