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

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

Back

The triangle is isosceles.

Front

In an isosceles triangle, how do you find the measure of the vertex angle if the base angles are known?

Back

The vertex angle can be found using the formula: Vertex Angle = 180 - 2(Base Angle).

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 Pythagorean theorem?

Back

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

Front

If the base of an isosceles triangle is 10 cm and the equal sides are 13 cm, what is the height?

Back

The height is approximately 12 cm.

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.