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HERON'S FORMULA: A Geometric Proof

score 340 · Answer 1 · 2026-04-13 13:45:33

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HERON'S FORMULA: A Geometric Proof

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If $S$ is the circumcenter of $\triangle ABC$ and $D, E, F$ are the feet of altitiudes to opposite sides from $A, B, C$, prove that $SB \perp DF$.

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List Question

HERON'S FORMULA: A Geometric Proof

Please help me understand the definition of straight line given by Euclid.

Arc vs Arc Measure

Question regarding basis vectors of root reference frame...

Can we prove this geometry question without too much calculation?

If $S$ is the circumcenter of $\triangle ABC$ and $D, E, F$ are the feet of altitiudes to opposite sides from $A, B, C$, prove that $SB \perp DF$.

Let $D, E, F$ be the feet of the altitudes from $A, B, C$ in $\triangle ABC$. Prove that the perpendicular bisector of $EF$ also bisects $BC$.

Find 3D coordinates for third point of a triangle given the other two points and their angles

Circle-Cirle Intersection

Formal definition of trigonometric functions

Constructing a right triangle with hypotenuse and bisector

What do the numbers in brackets in Heath's translation of Euclid mean?

Axes of an ellipse generated by inclined disk

Euclid's Elements missing axiom of M. Pasch examples

Books with a geometric approach to vectors?

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