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WOLFRAM|DEMONSTRATIONS PROJECT

27a. Construct a Triangle Given a Side, the Length of the Altitude to It and the Opposite Angle

​
c
1.1
γ
1
h
0.6
steps
1
2
3
This Demonstration constructs a triangle
ABC
given the length
c
of the base
AB
, the angle
γ
at
C
and the length
h
of the altitude from
C
to the base.
Construction
1. Draw a line segment
AB
of length
c
.
2. Draw the point
S
so that the angle
∠ASB
equals
2γ
and
AS=BS
. Draw the circle
σ
with center
S
through
A
and
B
.
3. Draw a line
ρ
parallel to
AB
at distance
h
. The third point of the triangle
ABC
is the intersection of
σ
and
ρ
.
Verification
The angle at
c
is
γ
, since the central angle that subtends
AB
equals
2γ
.
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