Types of Triangles

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What is a triangle?

A triangle is a polygon with three edges and three vertices.

How are triangles classified based on their sides?

Triangles are classified based on their sides as equilateral, isosceles, and scalene.

What is an equilateral triangle?

An equilateral triangle is a triangle where all three sides are of equal length.

What is an isosceles triangle?

An isosceles triangle is a triangle with at least two sides of equal length.

What is a scalene triangle?

A scalene triangle is a triangle where all sides are of different lengths.

How are triangles classified based on their angles?

Triangles are classified based on their angles as acute, right, and obtuse.

What is an acute triangle?

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

What is a right triangle?

A right triangle is a triangle with one interior angle exactly equal to 90 degrees.

What is an obtuse triangle?

An obtuse triangle is a triangle with one interior angle greater than 90 degrees.

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

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

Can a triangle be both isosceles and right?

Yes, a triangle can be isosceles with two equal sides and a right angle.

What defines a triangle’s height?

A triangle's height is the perpendicular distance from a vertex to the opposite side (or its extension).

What is the area formula for a triangle?

The area of a triangle is given by 1/2 x base x height.

What is the Pythagorean Theorem related to triangles?

The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

What is a median in a triangle?

A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side.