### Home > APCALC > Chapter 5 > Lesson 5.3.2 > Problem 5-127

5-127.

Ring O’s new three-chamber detention chamber was so successful that his friend John Lemon is jealous. Not to be outdone, John decides to make his chamber in the shape of an isosceles triangle. His chamber will still have

Solve for or

*.*

Dissect the isosceles triangle into two right triangles, label its dimensions in terms of or

*. Then use the the Pythagorean Theorem to solve for the hypotenuse.*

Write a perimeter function. Then use Calculus to optimize it.