Isosceles Triangle and Equilateral Triangle

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 an equilateral triangle?

Back

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

Front

What is the vertex angle in an isosceles triangle?

Back

The vertex angle is the angle opposite the base of the isosceles triangle, where the two equal sides meet.

Front

How do you find the measure of the base angles in an isosceles triangle?

Back

The base angles can be found using the formula: Base Angle = (180 - Vertex Angle) / 2.

Front

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

Back

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

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 degrees.

Front

How do you calculate the height of an isosceles triangle?

Back

The height can be calculated using the formula: Height = √(a² - (b/2)²), where 'a' is the length of the equal sides and 'b' is the base.

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 the Pythagorean theorem and how does it relate to triangles?

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).