Equilateral and Isosceles Triangles Worksheet

When it comes to triangles, there are several types that can be identified by their angles and side lengths. Two common types of triangles are equilateral and isosceles triangles. In this article, we will explore the characteristics and properties of these two types of triangles.

Properties of Isosceles Triangles

An isosceles triangle is a type of triangle that has two sides of equal length. This means that if one leg of an isosceles right triangle is 5 inches long, then the other leg will also be 5 inches long. One way to find the length of the hypotenuse of an isosceles right triangle is by using the Pythagorean theorem: a² + b² = c².

Properties of Equilateral Triangles

An equilateral triangle is a type of triangle that has all three sides of equal length. This means that every side of an equilateral triangle is congruent to every other side. One way to find the area of an equilateral triangle is by using the basic triangle area formula: area = base × height / 2.

Relationships Between Sides and Angles

In both isosceles and equilateral triangles, there are relationships between the sides and angles that can be used to solve problems. For example, if one leg of an isosceles right triangle is 5 inches long, then the other leg will also be 5 inches long. Additionally, the angle between the legs of an isosceles right triangle is a right angle (90 degrees).

Using Trigonometry

If you know trigonometry, you can use it to find the length of the hypotenuse of an isosceles right triangle. For example, if one leg is 5 inches long and the other leg is also 5 inches long, then the hypotenuse will be equal to √2/2 times the length of one leg.

In conclusion, equilateral and isosceles triangles have several properties that can be used to solve problems. By understanding these properties, you can find the length of the hypotenuse of an isosceles right triangle, or the area of an equilateral triangle. Additionally, trigonometry can be used to find the length of the hypotenuse of an isosceles right triangle.

* Isosceles triangles have two sides of equal length.

* Equilateral triangles have all three sides of equal length.

* The Pythagorean theorem can be used to find the length of the hypotenuse of an isosceles right triangle.

* The basic triangle area formula can be used to find the area of an equilateral triangle.

* Trigonometry can be used to find the length of the hypotenuse of an isosceles right triangle.

Equilateral and isosceles triangles worksheet