35 points please help thank you❤️❤️
1 answer:
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Answer:
Therefore area of a triangle whose vertices are (0,0), (4,2), (-1,2) is
5 units².
Step-by-step explanation:
Given:
Let the vertices be,
point A( x₁ , y₁) ≡ ( 0 , 0)
point B( x₂ , y₂) ≡ (4 , 2)
point C(x₃ , y₃ ) ≡ (-1 , 2)
To Find:
Area of Triangle = ?
Solution:
If the Vertices A( x₁ , y₁), B( x₂ , y₂) and C(x₃ , y₃ ) then the Area of Triangle is given by
Substituting the values we get
Therefore area of a triangle whose vertices are (0,0), (4,2), (-1,2) is
5 units².
Check the picture below.
so by graphing those two, we get that little section in gray as you see there, now, x = 6 is a vertical line, so we'll have to put the equations in y-terms and this is a washer, so we'll use the washer method.
the way I get the radii is by using the "area under the curve" way, namely, I use it to get R² once and again to get r² and using each time the axis of rotation as one of my functions, in this case the axis of rotation will be f(x), and to get R² will use the "farthest from the axis of rotation" radius, and for r² the "closest to the axis of rotation".
now, both lines if do an equation on where they meet or where one equals the other, we'd get the values for y = 0 and y = 1, not surprisingly in the picture.
