Unit 5 Relationships in Triangles Homework 4 is an assignment to help students understand the properties of triangles and how to use them to solve problems. In this homework, students are required to identify the sides and angles of triangles, calculate their area, and find the missing angles and sides. The answer key to this homework is provided below.

## Identifying Triangles

The first part of the homework requires students to identify the type of triangle given the three sides. An equilateral triangle has three sides of equal length, an isosceles triangle has two sides of equal length, and a scalene triangle has three sides of unequal length. Students should be able to identify the triangle by looking at the lengths of the sides.

## Calculating the Area

The second part of the homework requires students to calculate the area of a triangle. The area of a triangle can be found by using the formula A = 1/2ab, where a and b are the lengths of two sides of the triangle, and h is the height of the triangle. Students should know how to find the height of a triangle by using the Pythagorean theorem.

## Finding Missing Angles and Sides

The third part of the homework requires students to find the missing angles and sides of a triangle. Students should be familiar with the triangle angle sum theorem, which states that the sum of the three angles of a triangle is always 180 degrees. This can be used to find the missing angles of a triangle. To find the missing sides, students should use the Pythagorean theorem or the law of sines.

Unit 5 Relationships in Triangles Homework 4 is an assignment to help students understand the properties of triangles and how to use them to solve problems. The answer key to this homework is provided to help students understand the concepts and complete the assignment. By mastering the concepts of triangles, students will be able to understand more advanced mathematics concepts.

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