Answered

It is given that in △ABC, AD ⊥ BC. Using the definition of sine with angle C in △ACD results in sin(C) = . Using the multiplication property of equality to isolate h, the equation becomes bsin(C) = h. Knowing that the formula for the area of a triangle is A = bh is and using the side lengths as shown in the diagram, which expression represents the area of △ABC

Verified Answer :

MissPhiladelphia

Hi, thank you for posting your question here at Brainly.

All you have to do to acquire the equation is to substitute the variables to the formula for A and simplify. Since A = 1/2bh and h = bsin(C), then A can be in terms of one variable only, which is b.

A = 1/2bbsin(c)
A = 1/2b^2sin(C)

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Answer:

the answer is B: 1/2absin(C)

Step-by-step explanation:

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I also took the quiz just now and can confirm that it is correct.

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