Lesson 6 Homework Practice Use The Pythagorean Theorem Answer Key

Download File  https://tinurll.com/2xUzaJ 

How to Use the Pythagorean Theorem to Solve Problems

The Pythagorean Theorem is a mathematical formula that relates the lengths of the sides of a right triangle. It states that the square of the hypotenuse (the longest side of the triangle) is equal to the sum of the squares of the other two sides. In symbols, this can be written as:

where a and b are the lengths of the legs (the shorter sides) and c is the length of the hypotenuse.

The Pythagorean Theorem can be used to find missing lengths of right triangles, or to check if a triangle is right. For example, if you know that a right triangle has a leg of 3 units and a hypotenuse of 5 units, you can use the Pythagorean Theorem to find the length of the other leg:

Simplifying, we get:

Subtracting 9 from both sides, we get:

Taking the square root of both sides, we get:

Since we are looking for a positive length, we choose b = 4. Therefore, the other leg of the triangle is 4 units long.

If you want to practice using the Pythagorean Theorem to solve problems, you can download some worksheets with answers from these websites:

Free Solutions for Glencoe MATH Course 3, Volume 2 | Quizlet

Scanned by CamScanner - MRS. ATHANS

NAME DATE PERIOD Lesson 6 Skills Practice - Chandler Unified School ...

48 Pythagorean Theorem Worksheet with Answers [Word + PDF] - TemplateLab

Happy learning!

The Pythagorean Theorem can also be used to find the distance between two points on a coordinate plane. The coordinate plane is a grid of horizontal and vertical lines that represent the x- and y-axes. Each point on the plane has an ordered pair of numbers that show its position on the x- and y-axes. For example, the point (2, 3) is 2 units to the right of the y-axis and 3 units above the x-axis.

To find the distance between two points on the coordinate plane, we can imagine drawing a right triangle with the points as the vertices of the hypotenuse. Then we can use the Pythagorean Theorem to find the length of the hypotenuse, which is the distance between the points. For example, if we want to find the distance between the points (2, 3) and (5, 7), we can draw a right triangle as shown below:

The length of the horizontal leg of the triangle 66dfd1ed39

DMIFIT Tool And HPBQ138EXE<br>solucionario himmelblau david principios basicos y calculos en ingenieria quimica sexta edicion<br>problemas electronica potencia lazaro<br>