Question

Prove the HL (hypotenuse-leg) congruence property for right triangles as a theorem in Absolute Geometry.

Answer #1

formally/step by step: prove that similar but non-congruent
triangles cannot exist in elliptic geometry

Prove that equilateral triangles exist in
neutral geometry (that is, describe a construction
that will yield an equilateral triangle). note that all the
interior angles of an equilateral triangle will be congruent, but
you don’t know that the measures of those interior angles is
60◦.Also, not allowed to use circles.

∠ABC is a right angle. AB = 8 inches,
BC = 13 inches, and AD = 3 feet. Determine the
surface area (in square inches) and volume (in cubic inches) of the
following. (Round your answers to one decimal place.)
A triangular prism is given. The prism is oriented so that the
top and bottom faces are triangles. Four vertices of the prism are
labeled as follows:
The bottom left vertex of the top triangular face is labeled
A.
The...

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