Which type of triangle has minimum area?

Which type of triangle has minimum area?

Therefore, the isosceles triangle will have lesser area than the equilateral one.

How do you find the minimal area?

To find the minimum possible area, subtract the greatest possible error from each measurement, then multiply.

What is the minimum area of a triangle with integral vertices?

Answer: 1//2 sq. Step-by-step explanation: Clearly, for minimum area of triangle height and base must be minimum.

How do you find the maximum and minimum lengths of a triangle?

Solving for s3, we get s3 < s1 + s2, s3 > s2 – s1 and s3 > s1 – s2. So, the minimum possible value will be max(s1, s2) – min(s1, s2) + 1 and the maximum possible value will be s1 + s2 – 1.

What is the minimum length of 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.

Why does equilateral triangle have largest area?

Among all inscribed triangles with a given base, the tallest one is isosceles and, therefore, it has the largest area, due to the standard formula A = b×h/2, where A, b, and h are the area, the base and the altitude of a triangle.

How do you solve maxima and minima problems?

Finding Maxima & Minima

  1. Find the derivative of the function.
  2. Set the derivative equal to 0 and solve for x. This gives you the x-values of the maximum and minimum points.
  3. Plug those x-values back into the function to find the corresponding y-values. This will give you your maximum and minimum points of the function.

What are integral coordinates?

The number of integral points (integral point means both the coordinates should be integer) exactly in the interior of the triangle with vertices (0, 0), (0, 21) and (21, 0) is. SolveStudyTextbooksGuides.

What is the shortest side of a 30 60 90 triangle?

Tips for Remembering the 30-60-90 Rules Remembering the 30-60-90 triangle rules is a matter of remembering the ratio of 1: √3 : 2, and knowing that the shortest side length is always opposite the shortest angle (30°) and the longest side length is always opposite the largest angle (90°).

What is the area of an equilateral triangle with side 3 √ 4?

Therefore the area of an equilateral triangle having a side length equal to √3/4 cm is 3√3/64 cm2. Hence option c is the answer. Was this answer helpful?

How do you solve minimum problems?

  • August 31, 2022