Intro to Triangles

Front

What is an acute triangle?

Back

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

Front

What is a right triangle?

Back

A right triangle is a triangle that has one angle measuring exactly 90 degrees.

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 degrees.

Front

How do you find the measure of a missing angle in a triangle?

Back

To find the measure of a missing angle, subtract the sum of the known angles from 180 degrees.

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides (a² + b² = c²).

Front

What are the different types of triangles based on side lengths?

Back

The types of triangles based on side lengths are equilateral (all sides equal), isosceles (two sides equal), and scalene (no sides equal).

Front

What are the different types of triangles based on angles?

Back

The types of triangles based on angles are acute (all angles < 90°), right (one angle = 90°), and obtuse (one angle > 90°).

Front

How do you classify a triangle with sides measuring 5, 12, and 13?

Back

This triangle is a right triangle because it satisfies the Pythagorean theorem (5² + 12² = 13²).

Front

What is the relationship between the sides of a triangle and its angles?

Back

In a triangle, the largest angle is opposite the longest side, and the smallest angle is opposite the shortest side.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle can be calculated using the formula: Area = 1/2 * base * height.