Maximizing the area of a triangle

In summary, someone told you to find the coordinates of point C on the graph of y= x^2, but the answer is not √x²+√16/x². You may know formulas for calculating the area of a triangle, and one of those may be able to be used here.
  • #1
markosheehan
136
0
View attachment 5904

can some1 show me how to do this the answer to the first part is √x²+√16/x²
 

Attachments

  • WIN_20160821_11_13_34_Pro.jpg
    WIN_20160821_11_13_34_Pro.jpg
    67.6 KB · Views: 85
Physics news on Phys.org
  • #2
Re: calculus

"
markosheehan said:
can some1 show me how to do this the answer to the first part is √x²+√16/x²

"The first part" of what? The only problem that is really clear is #26 where the first part asks you to "find the coordinates of point C". The answer to that is certainly not "√x²+√16/x²"!

So you are referring to #25? You are given the graph of [tex]y= x^2[/tex] and three points on that graph, (-2, 4), (4, 16), and [tex](x, x^2)[/tex]. The lines connecting those points are drawn to form a triangle. The "first part" of #25 asks you to Find the value of x such that this triangle has maximum area.

Ok, what formulas do you know for calculating the area of a triangle? Which of those could you use here?
 
  • #3
I have edited the thread title to briefly describe the problem. A thread title of "calculus" for a thread posted in our "Calculus" forum gives no additional information about the question being asked.

When attaching images of problems, it is better to hold your camera so that the lens is parallel to the sheet of paper and then crop the image so that only the problem about which you are asking is in the image. This makes it easier for our helpers to interpret the image and the question being asked.

Also, please refrain from "textspeak" in the body of your post. Go ahead and type "someone" instead of "some1" for improved readability (it's only 2 additional keystrokes and looks so much better). :D

I don't mean to be a grumpy ol' meanie, it's just that these are things that help make MHB more useful for everyone.
 
  • #4
ok and ye the back of the book shows the answers and it must be wrong i worked it out anyway
 

FAQ: Maximizing the area of a triangle

What is the formula for finding the area of a triangle?

The formula for finding the area of a triangle is A = 1/2 * base * height, where A represents the area, base represents the length of the triangle's base, and height represents the height of the triangle.

How can I maximize the area of a triangle?

The area of a triangle can be maximized by increasing its base and height. This can be achieved by using similar triangles or by using the Pythagorean theorem to find the length of the missing side.

Can the area of a triangle be greater than the perimeter?

Yes, it is possible for the area of a triangle to be greater than its perimeter. This generally occurs with triangles that have a larger height and shorter base, or vice versa.

What is the relationship between the area and the angles of a triangle?

The area of a triangle is directly proportional to the product of its base and height. Additionally, the area of a triangle with a fixed base is greatest when the angle opposite the base is 90 degrees.

How does changing the shape of a triangle affect its area?

Changing the shape of a triangle can affect its area in different ways. For example, increasing the length of one side while keeping the other sides the same can increase the area. However, changing the angles of a triangle without changing its side lengths can affect the area in unexpected ways.

Similar threads

Find the limit of the sum of the areas of all these triangles
Replies
7
Views
807
MHB 12.4.9 - Area of a triangle given points in 3D space
Replies
5
Views
2K
MHB What Is the Minimum Surface Area for a Cuboid Box with a Square Base?
Replies
4
Views
1K
B Calculating shaded area: I'm getting discrepancies between methods
Replies
3
Views
1K
B Question about units for "area under curve"
Replies
2
Views
1K
MHB Find Area of Triangle with Vertices $(0, 0, 0), (1, 1, 1)$ and $(0, -2, 3)$
Replies
4
Views
2K
B Area Increasing as a linear dimension increases -- Looking for intuition on this
Replies
11
Views
2K
A Area distribution of inscribed triangles in a circumference
Replies
12
Views
778
Finding area of a non right angled triangle
Replies
9
Views
3K
Find the area of a segment of a circle using integration
Replies
8
Views
1K

Hot Threads

Recent Insights

Back
Top