SOL Objective(s):
8.10 The student will
a) verify the Pythagorean Theorem; and
b) apply the Pythagorean Theorem.
a) verify the Pythagorean Theorem; and
b) apply the Pythagorean Theorem.
Prerequisite Skills:Know how use a formula and how to substitute values.
Identify and/or classify types of triangles. Solve equations. 
KhanAcademy Phrases:Pythagorean Theorem
Recognizing Triangles 
The Basics and Background Information
In a right triangle, the square of the length of the hypotenuse equals the sum of the squares of the legs (altitude and base). This relationship is known as the
Pythagorean Theorem: a2 + b2 = c2.
• The Pythagorean Theorem is used to find the measure of any one of the three sides of a right triangle if the measures of the other two sides are known.
• Whole number triples that are the measures of the sides of right triangles, such as (3,4,5), (6,8,10), (9,12,15), and (5,12,13), are commonly known as Pythagorean triples.
• The hypotenuse of a right triangle is the side opposite the right angle.
• The hypotenuse of a right triangle is always the longest side of the right triangle.
• The legs of a right triangle form the right angle.
Pythagorean Theorem: a2 + b2 = c2.
• The Pythagorean Theorem is used to find the measure of any one of the three sides of a right triangle if the measures of the other two sides are known.
• Whole number triples that are the measures of the sides of right triangles, such as (3,4,5), (6,8,10), (9,12,15), and (5,12,13), are commonly known as Pythagorean triples.
• The hypotenuse of a right triangle is the side opposite the right angle.
• The hypotenuse of a right triangle is always the longest side of the right triangle.
• The legs of a right triangle form the right angle.
Essential Knowledge and Skills
The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to...
• Identify the parts of a right triangle (the hypotenuse and the legs).
• Verify a triangle is a right triangle given the measures of its three sides.
• Verify the Pythagorean Theorem, using diagrams, concrete materials, and measurement.
• Find the measure of a side of a right triangle, given the measures of the other two sides.
• Solve practical problems involving right triangles by using the Pythagorean Theorem.
• Identify the parts of a right triangle (the hypotenuse and the legs).
• Verify a triangle is a right triangle given the measures of its three sides.
• Verify the Pythagorean Theorem, using diagrams, concrete materials, and measurement.
• Find the measure of a side of a right triangle, given the measures of the other two sides.
• Solve practical problems involving right triangles by using the Pythagorean Theorem.
Vocabulary and Things to Know:Pythagorean Theorem: a^2 + b^2 = c^2
leg: sides on either side of the right angle of a right triangle hypotenuse: side opposite the right angle of a right triangle right angle: 90 degree angle "little box": indicates a 90 degree adjacent: next to opposite: across from a and b sides are both legs only c side is the hypotenuse side c is always longest side square root principle square root 
Be Able To:solve equations
apply order of operations find square roots square numbers 
Pythagorean Theorem: What is it and what will we learn?
Pythagroean Theorem is a formula that can be used to tell if a triangle is a right triange or not AND it can be used to find the measurement of a side of a right triangle when the other two sides are known.
Introduction to the Pythagorean Theorem ITHIS is the video for your 3/2 homework. It should be about a 10 minute video, not an 8 minute video. :)


Introduction to Pythagorean Theorem 

How to find the measurement of a missing side 

Pythagorean Theorem by Khan Academy 

Applying Pythagorean Theorem 

Introduction to and application of Pythagorean Theorem 

3, 4, 5 Rule: Seeing the Importance of Pythagorean Theorem in the Real World 

Mathx.net: Pythagorean Theorem WorksheetsWorksheets practice for finding unknown hypotenuse, leg, perimeter, or in verifying whether a triangle is right or not. Worksheets are available in different levels. Answers accompany each worksheet.

Pythagorean Triples 

More information about Pythagorean Theorem and Triples
