WOLFRAM|DEMONSTRATIONS PROJECT

24b. Construct a Triangle Given the Length of the Altitude to the Base, the Difference of Base Angles and the Sum of the Lengths of the Other Sides

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δ
0.8
h
C
0.4
s
1.5
plot range
2.85
This Demonstration uses a conchoid to construct a triangle
ABC
given the difference
δ
of the base angles
β
and
α
, the length of the altitude
h
C
from the base and the sum
s
of the lengths of the legs.
The conchoid, shown in red, determined by
DC=
h
C
and
DF=s
, intersects the straight line through
E
that forms an angle
δ
with the horizontal line through
D
in the points
A
and
B
. The triangle
ABC
is the solution.