Geometry A 3.3 Isosceles and Equilateral Triangles

Front

What is an isosceles triangle?

Back

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

Front

What is an equilateral triangle?

Back

An equilateral triangle is a triangle in which all three sides are of equal length and all three angles are equal to 60°.

Front

How can you determine if a triangle is isosceles using coordinates?

Back

Calculate the lengths of all three sides using the distance formula. If at least two lengths are equal, the triangle is isosceles.

Front

What is the distance formula?

Back

The distance formula is given by: d = √((x2 - x1)² + (y2 - y1)²), which calculates the distance between two points (x1, y1) and (x2, y2).

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 of a triangle are equal, what can be said about the triangle?

Back

If two angles of a triangle are equal, the triangle is isosceles.

Front

What is the relationship between the sides and angles in an equilateral triangle?

Back

In an equilateral triangle, all sides are equal, and all angles are equal to 60°.

Front

How do you find the value of x in a triangle?

Back

Use the properties of triangles, such as the sum of angles or the relationship between sides and angles, to set up an equation and solve for x.

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.

Front

What is a scalene triangle?

Back

A scalene triangle is a triangle in which all three sides are of different lengths.