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

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.