# Questions tagged [triangles]

For questions about properties and applications of triangles.

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### Notable elements of any triangle ABC [closed]

Here's a link for a display of notable elements of any triangle ABC with Steiner Deltoid, Mandart Inellipse, morley's triangles, Apollonius circle, cubics, etc... https://www.desmos.com/calculator/...
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### What is the specific term for an Isosceles triangle where the legs are longer/shorter than the base?

I'm shocked that I couldn't find an answer to this anywhere, but I have a situation where I have to categorize isosceles triangles by whether their legs are (individually) longer or shorter than their ...
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### Find a point on triangle and interpolated triangle normal which points to specific point in 3D

Suppose i have triangle in 3d with vertices $v1, v2, v3 \in R^3$. Each triangle vertex has associated normal vector $n1, n2, n3 \in R^3, ||n_i|| = 1$. In computer graphics such vectors sometimes ...
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### In $\triangle ABC$, $D$ is on $AC$ such that $AB=CD$, $E$ and $F$ are midpoints of $AD$ and $BC$, and $BA$ intersects $EF$ at $M$. Prove $AM=AE$.
A triangle $\triangle ABC$ has a point $D$ on $AC$ such that $AB=CD$, and $E$ and $F$ are midpoints of $AD$ and $BC$, respectively. $BA$ intersects $EF$ at $M$. Prove that $AM=AE$. I know the ...