MHB Formulas for Triangle Perimeter & Height

Click For Summary
The discussion focuses on deriving formulas for the minimum perimeter of a triangle when only the heights corresponding to sides a and b are known. Participants are asked to provide the maximum height and minimum height corresponding to side b, given the triangle's perimeter and the height corresponding to side a. Diagrams are encouraged to illustrate the concepts and calculations involved. The conversation emphasizes the mathematical relationships between triangle dimensions and their respective heights. Clear formulas and visual aids are sought to enhance understanding of these geometric principles.
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.
 
Physics news on Phys.org
Can you perhaps provide some diagrams and show what you've tried?
 

Similar threads

MHB Maxima and minima of a triangle
  • · Replies 1 ·
Replies
1
Views
3K
MHB Calculating Perimeter & Area of a Parallelogram & Triangle
  • · Replies 1 ·
Replies
1
Views
1K
MHB Find length that minimizes the perimeter
  • · Replies 1 ·
Replies
1
Views
972
MHB Problem about equilateral triangles
  • · Replies 2 ·
Replies
2
Views
1K
MHB What is the perimeter of triangle ABC?
  • · Replies 13 ·
Replies
13
Views
4K
MHB What is the perimeter of triangle ABC?
  • · Replies 2 ·
Replies
2
Views
5K
MHB Is there a formula for finding the perimeter of a triangle with known vertices?
  • · Replies 3 ·
Replies
3
Views
2K
Find the limit of the sum of the areas of all these triangles
  • · Replies 7 ·
Replies
7
Views
1K
MHB Find the scale factor of triangle ABC to triangle DEF
  • · Replies 5 ·
Replies
5
Views
3K
Sides of a triangle
  • · Replies 16 ·
Replies
16
Views
2K