MathDB

ratio of sides, square on hypothenuse of a right triangle

Source: Tournament Of Towns Spring 1999 Junior 0 Level p2

May 7, 2020

ratiosquaregeometryright triangle

Problem Statement

ABC

is a right-angled triangle. A square

ABDE

is constructed on the opposite side of the hypothenuse

AB

from

C

. The bisector of

\angle C

cuts

DE

F

. If

AC = 1

and

BC = 3

, compute

\frac{DF}{EF}

.
(A Blinkov)