MYP Standard Mathematics Right Triangle Geometry Key Definitions

A statement formed by switching the “if” part and the “then” part of a conditional statement.

For an acute angle $A$ in a right triangle, $\cos A=\dfrac{\text{adjacent}}{\text{hypotenuse}}$.

The side opposite the right angle in a right triangle, always the longest side.

In any right triangle, the squares of the two shorter sides add to the square of the hypotenuse: $a^2+b^2=c^2$.

A triangle with one angle equal to $90^\circ$.

For an acute angle $A$ in a right triangle, $\sin A=\dfrac{\text{opposite}}{\text{hypotenuse}}$.

For an acute angle $A$ in a right triangle, $\tan A=\dfrac{\text{opposite}}{\text{adjacent}}$.