NMT / ZNO

Formulas and reference

A compact mathematics reference in two levels: the NMT exam sheet and the full ZNO formula set.

ZNO — full reference · Geometry · 9 formulas
Full ZNO Expanded school formula set. The “NMT” badge marks formulas also present on the compact sheet.
Right triangle

Right triangle

Pythagorean theorem

NMT
\[a^2+b^2=c^2\]
8–11 grade

Cosine of an acute angle

NMT
\[\cos\alpha=\frac bc\]
8–11 grade

Sine of an acute angle

NMT
\[\sin\alpha=\frac ac\]
8–11 grade

Tangent of an acute angle

NMT
\[\tg\alpha=\frac ab\]
8–11 grade

Altitude to the hypotenuse

\[h=\frac{ab}{c}\]
8–11 grade

Altitude through the leg projections

\[h^2=pq\]
8–11 grade

Leg from its projection on the hypotenuse

\[a^2=cp\]
8–11 grade

Second leg from its projection

\[b^2=cq\]
8–11 grade

Circumradius of a right triangle

\[R=\frac c2\]
8–11 grade