Question

Put the steps for the deriving for the area of a triangle in the correct order​

Answer 1

See Below.

Explanation:

Steps:

1) Draw the altitude of the triangle from Vertex B to side CA and label it h.

2) Find
`\sin(C)` of the triangle.*

3)
`\displaystyle \sin(C)=(h)/(a)`

4) Solve for h.

5)
`h=a\sin(C)`

6) Substitute expression for h into traditional formula for area of a triangle,
`\displaystyle A=(1)/(2)bh`.

7)
`\displaystyle A=(1)/(2)ba\sin(C)=(1)/(2)ab\sin(C)`

(We acquire two right triangles after drawing h since it is an altitude. We will use the smaller of the two.)