Triangles

Front

What is a triangle?

Back

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry.

Front

What are the types of triangles based on angles?

Back

The types of triangles based on angles are acute triangles (all angles less than 90°), right triangles (one angle equal to 90°), and obtuse triangles (one angle greater than 90°).

Front

What are the types of triangles based on side lengths?

Back

The types of triangles based on side lengths are equilateral triangles (all sides equal), isosceles triangles (two sides equal), and scalene triangles (all sides different).

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180°.

Front

If two angles in a triangle measure 30° and 105°, how do you find the third angle?

Back

To find the third angle, subtract the sum of the known angles from 180°. So, 180° - (30° + 105°) = 45°.

Front

What is an acute triangle?

Back

An acute triangle is a triangle where all three interior angles are less than 90°.

Front

What is a scalene triangle?

Back

A scalene triangle is a triangle where all three sides and all three angles are different.

Front

What is an isosceles triangle?

Back

An isosceles triangle is a triangle that has at least two sides of equal length and the angles opposite those sides are equal.

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle equal to 90°.

Front

How do you classify a triangle with one angle greater than 90°?

Back

A triangle with one angle greater than 90° is classified as an obtuse triangle.