Maxima and minima of a triangle

Click For Summary
SUMMARY

The discussion focuses on calculating the minimum perimeter of a triangle given the heights corresponding to sides a and b, as well as determining the maximum height and minimum height corresponding to side b when the perimeter and height corresponding to side a are known. The formulas for these calculations are essential for geometric optimization problems involving triangles. Adrian's comment suggests a potential misunderstanding by the original poster regarding the nature of their inquiry.

PREREQUISITES
  • Understanding of triangle geometry and properties
  • Familiarity with perimeter and height calculations in triangles
  • Knowledge of optimization techniques in geometry
  • Basic algebra for manipulating geometric formulas
NEXT STEPS
  • Research the formulas for triangle perimeter and area calculations
  • Study optimization techniques in geometric contexts
  • Learn about the relationships between triangle sides and heights
  • Explore advanced topics in triangle inequalities and their applications
USEFUL FOR

Mathematicians, geometry enthusiasts, and students studying optimization in geometric figures will benefit from this discussion.

loquetedigo
Messages
12
Reaction score
0
Write the following formulas:

a) The minimum perimeter of any triangle (abc) only known heights corresponding to the sides a and b.

b) The maximum height and minimum corresponding to the side b of any triangle (abc) only known the value of its perimeter and height corresponding to the side a.
 
Mathematics news on Phys.org
Adrian,

I could be wrong, but I think the OP mistakenly posted a question with which they want help here. :)
 

Similar threads

  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 13 ·
Replies
13
Views
4K
  • · Replies 2 ·
Replies
2
Views
5K
Replies
3
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 6 ·
Replies
6
Views
1K
  • · Replies 4 ·
Replies
4
Views
1K