Which height goes in the triangle formula?

The perpendicular height to the base you chose, not the slanted side.

Area and Volume Formulas — Examples and Uses

One reference for the geometry formulas that come up again and again.

$A = \frac{1}{2} bh$

Base and perpendicular height.

$A = π r^{2}$

Circumference is 2πr.

$V = π r^{2} h$

Base area times height.

$V = \frac{4}{3} π r^{3}$

Surface area is 4πr².

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Which height goes in the triangle formula?: The perpendicular height to the base you chose, not the slanted side.