Mathematics
22.07.2022 23:10
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Consider the diagram and the derivation below. given: in △abc, ad ⊥ bc derive a

Consider the diagram and the derivation below. given: in △abc, ad ⊥ bc derive a formula for the area of △abc using angle c. 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? bsin(c) absin(c) cbsin(c) hbsin(c) mark this and return
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a897coleman
a897coleman
5,0(11 marks)

A=\frac{1}{2}a*b*sin(C)

Step-by-step explanation:

First consider the diagram:

Now, we know that

Sin(C)=\frac{AD}{AC} \\ Sin(C) =\frac{h}{b} \\h=bsin(C)

Now, the area of the triangle ABC is given by,

A=\frac{1}{2}*BC*AD\\\\A=\frac{1}{2}*a*h\\\\A=\frac{1}{2}*a*c*sin(C)\\\\A=\frac{1}{2}a*b*sin(C)



Consider the diagram and the derivation below. given:  in △abc, ad ⊥ bc derive a formula for the are
camila68
camila68
4,7(38 marks)
I think the answer would be A. But double check with the graph I posted.
How would you describe the difference

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