Not a Love Triangle Trivia Quiz

Answer: Closed polygon

The closed polygon is a flat figure formed by segments of connected straight lines that form a closed figure. In any polygon the number of sides and vertices is always equal. The Greek mathematician, Euclid (300 BC), based on axioms and theorems, systematized the study of flat and solid figures, giving rise to geometry. The triangle is one of the basic shapes in geometry.

Answer: Equilateral

The equilateral triangle has all three sides of the same length and all angles with the same measurement. An equilateral triangle is a regular polygon. All the properties and facts described for regular polygons apply to an equilateral triangle.

Answer: Scalene

In a scalene triangle, all sides and all angles are different. The scalene triangle is the only triangle that does not have an axis of symmetry. The internal angles of a scalene triangle, as well as all the other triangles, always add up to 180°.

Answer: Acute

An acute triangle has three angles with less than 90° by definition. The Greek letter Delta resembles a acute triangle.

Answer: Obtuse

The obtuse triangle is one with one angle greater than 90° and two acute angles. The result of the sum of the exterior angles of a acute triangle and any other type of triangle is always equal to 360°.

Answer: Right

The right triangle or right-angled triangle has an angle that measures 90°, i.e. has a right angle. The right triangle is the basis for trigonometry. Thales' theorem deals with this kind of triangle. It states that "if A, B, and C are points marked in a circle and the line joining A to B is the diameter of this circle, the angle formed at the meeting between lines AB and BC will be 90°".

This theorem mentioned in Euclid's Elements and in Dante's Paradiso is attributed to Thales of Miletus, but is sometimes attributed to Pythagoras.

Answer: Hypotenuse

The longest side of a right triangle is called the hypotenuse and is always the side that lies opposite the 90° angle. The word hypotenuse comes from the Greek word "hypoteinousa" which means "stretching under". Pythagoras mentioned the hypotenuse in his theorem that states: "The square of the hypotenuse is equal to the sum of the squares of the other two sides".

Answer: Catheti

In a right-angled triangle the catheti (singular cathetus), commonly known as "leg", are the sides adjacent to the right angle. If the catheti of a right triangle have the same length the triangle is isosceles. When they have different lengths it can be called minor and major cathetus.

Answer: Vertex

In a flat figure, such as a triangle, the point where two lines meet is the vertex, always remembering that the lines meet at their end point. The vertex (plural vertices) is a corner or the point where two line segments meet.

Answer: Isosceles

The isosceles triangle has two sides with the same length and two angles with the same measure. The unequal side of one isosceles triangle is usually referred to as the " base" of the triangle.