On a piece of paper, use a protractor and a ruler to construct △ABC with AB=4 in., AC=4 in., and m∠A=60°.

Which statement is true about this triangle?


BC=3 in.

BC=4 in.

BC=5 in.

The length of BC¯¯¯¯¯ cannot be measured.

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Answer:

BC 4 in

Step-by-step explanation:

The steps for construction;

  • Using a ruler draw line AB 4 inches  and label the end points A and B
  • At point A , using a protractor, measure angle 60° and mark with point. Draw a line from A passing through this point extending to a length of 4 inches
  • Mark that point C.
  • Using the ruler, join point C and B and measure BC.

From calculation, length BC can be found by the formula;

[tex]BC=\sqrt{a^2+b^2-2*a*b*cosA}[/tex]------where a=b=4 in , cos A = cos 60°

[tex]BC=\sqrt{4^2+4^2-2*4*4*cos60}[/tex]

BC = 4 in

Answer:

bc = 4

Step-by-step explanation:

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