Scalene Triangle

A scalene triangle is a type of triangle that has three unequal sides. This means that all three sides of a scalene triangle have different lengths. In addition to having different side lengths, the angles of a scalene triangle are also unequal.

Properties of Scalene Triangle

1. All three sides have different lengths.

2. All three angles are different from each other.

3. The sum of the angles is always 180 degrees.

4. It does not have any lines of symmetry.

Identifying a Scalene Triangle

To identify a scalene triangle, you can measure the lengths of its sides using a ruler or a measuring tape. You can also use a protractor to measure the angles of the triangle. If all three sides have different lengths and all three angles are different, then the triangle is a scalene triangle.

Study Guide

When studying scalene triangles, it's important to understand the following key points:

Definition of a scalene triangle
Properties of a scalene triangle
How to identify a scalene triangle
Calculating perimeter and area of a scalene triangle
Real-life examples of scalene triangles

Practice identifying and working with scalene triangles using different examples and exercises. Understanding the properties and characteristics of scalene triangles will help in solving problems related to geometry and trigonometry.

Remember to always check the side lengths and angles of a triangle before classifying it as a scalene triangle.

Happy studying!

◂Math Worksheets and Study Guides Seventh Grade. Decimal Operations

The resources above cover the following skills:

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Work flexibly with fractions, decimals, and percents to solve problems.

Develop meaning for integers and represent and compare quantities with them.

Understand meanings of operations and how they relate to one another.

Understand the meaning and effects of arithmetic operations with fractions, decimals, and integers.

Compute fluently and make reasonable estimates.

Select appropriate methods and tools for computing with fractions and decimals from among mental computation, estimation, calculators or computers, and paper and pencil, depending on the situation, and apply the selected methods.

Develop and analyze algorithms for computing with fractions, decimals, and integers and develop fluency in their use.

Grade 7 Curriculum Focal Points (NCTM)

Number and Operations and Algebra: Developing an understanding of operations on all rational numbers and solving linear equations

Students extend understandings of addition, subtraction, multiplication, and division, together with their properties, to all rational numbers, including negative integers. By applying properties of arithmetic and considering negative numbers in everyday contexts (e.g., situations of owing money or measuring elevations above and below sea level), students explain why the rules for adding, subtracting, multiplying, and dividing with negative numbers make sense. They use the arithmetic of rational numbers as they formulate and solve linear equations in one variable and use these equations to solve problems. Students make strategic choices of procedures to solve linear equations in one variable and implement them efficiently, understanding that when they use the properties of equality to express an equation in a new way, solutions that they obtain for the new equation also solve the original equation.