What is the maximum measurement for a triangle?

What is the maximum measurement for a triangle?

According to the first triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side. This means that you cannot draw a triangle that has side lengths 2, 7 and 12, for instance, since 2 + 7 is less than 12.

Which triangle has the maximum area for a given perimeter?

Equilateral
Solution: (3) Equilateral AB is the greatest.

How do you find the minimum and maximum area?

To find the minimum possible area, subtract the greatest possible error from each measurement before calculating. To find the maximum possible area, add the greatest possible error to each measurement before calculating.

How do you find the maximum area using differentiation?

To find the value of x that gives an area A maximum, we need to find the first derivative dA/dx (A is a function of x). If A has a maximum value, it happens at x such that dA/dx = 0. At the endpoints of the domain we have A(0) = 0 and A(200) = 0. Solve the above equation for x.

Which triangle has minimum area?

I think, the isosceles triangle will have minimum area. Let, the each side of the equilateral triangle be 2a. So, the perimeter of the triangle is 6a. Therefore, area of the equilateral triangle is {(√3)*(a^2)}.

What is the maximum area of an isosceles triangle?

Let the height of the triangle be h . So. A is the geometric mean of two positive quantities : h2 and 9−h2 , which have a given arithmetic mean (namely 4.5). Since the geometric mean of two positive quantities is never larger than their arithmetic mean, the largest possible value for the area is 4.5.

How do you find maximum and minimum values in geometry?

To find the maximum possible volume, add the greatest possible error to each measurement, then multiply. To find the minimum possible volume, subtract the greatest possible error from each measurement, then multiply.