Find the Angles of the Isosceles Triangle of Minimum Area

question 49

Essay

Find the angles of the isosceles triangle of minimum area in which a circle of radius is inscribed.
What are the sides of this triangle?
(You don't have to prove that the area is a minimum.)

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Definitions:

Liable for Payment

Being legally responsible for the settlement of a debt or financial obligation, typically as a consequence of a contract or law.

Consent

The voluntary agreement to or approval of what is done or proposed by another; can be given explicitly or implicitly.

Assign a Mortgage

The transfer of a mortgage from one party to another, changing the lender or creditor while the borrower remains the same.

Partial Discharges

The release or forgiveness of a portion of a debt or obligation, without fully extinguishing the entire obligation.