MHB Formulas for Triangle Perimeter & Height

[loquetedigo]

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.

 

[MarkFL]

Can you perhaps provide some diagrams and show what you've tried?