10 Fun Facts About Triangles Quiz

What is the term for a triangle with all three sides of equal length?

An equilateral triangle has all three sides equal and all three angles measuring 60 degrees each. This makes it the most symmetrical type of triangle.

In a right triangle, what is the longest side called?

The hypotenuse is the side opposite the right angle in a right triangle and is always the longest side, as described by the Pythagorean theorem.

What is the sum of the interior angles in any triangle?

The sum of interior angles in any triangle, regardless of its type or size, always equals 180 degrees. This is a fundamental principle in Euclidean geometry.

Which of these triangles has two sides of equal length?

An isosceles triangle is defined by having exactly two sides of equal length, and consequently, the two angles opposite those sides are also equal.

What mathematical relationship describes the sides of a right triangle?

The Pythagorean theorem states that in a right triangle, a² + b² = c², where c is the hypotenuse and a and b are the other two sides.

A triangle with one angle greater than 90 degrees is called what?

An obtuse triangle has one interior angle that measures more than 90 degrees, making it the only triangle type with an angle larger than a right angle.

In a triangle, what is the line segment from a vertex perpendicular to the opposite side called?

An altitude is a perpendicular line segment drawn from a vertex to the opposite side (or its extension). Every triangle has three altitudes, which intersect at a point called the orthocenter.

What is the point where all three medians of a triangle intersect?

The centroid is the center of mass of a triangle and divides each median in a 2:1 ratio from the vertex. It is also known as the geometric center of the triangle.

Which type of triangle has all three angles less than 90 degrees?

An acute triangle is one where all three interior angles measure less than 90 degrees. This is distinct from right triangles (one 90° angle) and obtuse triangles (one angle > 90°).

What is the formula for the area of a triangle?

The area of a triangle is calculated as half the product of its base and height: A = (b × h) ÷ 2. This formula works for any triangle regardless of its type.