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 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 length of a side in an isosceles triangle given the base and height?

Back

You can use the Pythagorean theorem to find the length of the equal sides if the base and height are known.

Front

What is the relationship between the angles in an isosceles triangle?

Back

The angles opposite the equal sides are also equal.

Front

How do you calculate the area of an equilateral triangle?

Back

The area of an equilateral triangle can be calculated using the formula: Area = (sqrt(3)/4) * side^2.

Front

What is the formula for the perimeter of an isosceles triangle?

Back

The perimeter of an isosceles triangle is given by the formula: Perimeter = 2a + b, where 'a' is the length of the equal sides and 'b' is the base.

Front

What is the significance of the base angles in an isosceles triangle?

Back

The base angles in an isosceles triangle are equal, which is a key property used in solving problems.

Front

How can you determine if a triangle is isosceles based on its angles?

Back

If two angles of a triangle are equal, then 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.