Isosceles triangle proof of congruent base angles

Autor:Alexandria Skinner

Given Hilbert's axioms, show that the base angles of an isosceles triangle are congruent.

Consider the isosceles triangles

and

. Notice that

and

Thus, by the application of Hilbert's Axiom of Congruence III-5, we know that

. We can further conclude that

Thus, in triangle

the base angles,

and

are congruent.

Nuevos recursos

Descubrir recursos

Descubre temas