 Right Triangle – A triangle with one right angle.  Hypotenuse – Side opposite the right angle and longest side of a right triangle.  Leg – Either.

Slides:

Advertisements

Similar presentations

Pythagorean Relationship 2 (Finding the length of the Hypotenuse)

Advertisements

Pythagoras Bingo. Pick 8 from the list C no 16124yes Pythagorean triple Hypotenuse Pythagoras theorem.

Special Right Triangles Chapter 7.4. Special Right Triangles triangles triangles.

Apply the Pythagorean Theorem Chapter 7.1. Sides of a Right Triangle Hypotenuse – the side of a right triangle opposite the right angle and the longest.

Find hypotenuse length in a triangle EXAMPLE 1

EXAMPLE 1 Find hypotenuse length in a triangle o o o Find the length of the hypotenuse. a. SOLUTION hypotenuse = leg 2 = 8 2 Substitute

EXAMPLE 4 Find the length of a hypotenuse using two methods SOLUTION Find the length of the hypotenuse of the right triangle. Method 1: Use a Pythagorean.

The Pythagorean Theorem

The Pythagorean Theorem. The Right Triangle A right triangle is a triangle that contains one right angle. A right angle is 90 o Right Angle.

Lesson 10.1 The Pythagorean Theorem. The side opposite the right angle is called the hypotenuse. The other two sides are called legs. We use ‘a’ and ‘b’

4.4: THE PYTHAGOREAN THEOREM AND DISTANCE FORMULA

Bell Ringer Get out your 10.5/10.7 homework assignment and formula sheet Get out your notebook and prepare to take notes on Section 11.2 What do you know.

Pythagorean Theorum Adham Jad. What is a triangle? How many sides does a triangle have? What is the sum of angles in a triangle? Background & Concept.

Geometry 4.4 SWLT: Use the Pythagorean Theorem to find side lengths of Right Triangles.

Objective The student will be able to:

4-6 Congruence in Right Triangles M.11.C B

THE PYTHAGOREAN THEOROM Pythagorean Theorem  What is it and how does it work?  a 2 + b 2 = c 2  What is it and how does it work?  a 2 + b 2 = c 2.

Pythagorean Theorem By: Kierra Reber period 6 extra credit.

4.6 Congruence in Right Triangles In a right triangle: – The side opposite the right angle is called the hypotenuse. It is the longest side of the triangle.

Chapter 1: Square Roots and the Pythagorean Theorem Unit Review.

OBJECTIVE I will use the Pythagorean Theorem to find missing sides lengths of a RIGHT triangle.

Pythagorean Theorem Chapter 3 – 5. What’s a, b, & c? a & b are the two sides that form the 90° angle a & b are also known as “legs” of a right triangle.

Bell Ringer 30  60  3 X Y Find x and y. Objective I can evaluate the legs and hypotenuse of a triangle in word problems.

11.4 Pythagorean Theorem Definitions Pythagorean Theorem

World 1-1 Pythagoras’ Theorem. When adding the areas of the two smaller squares, a2a2 Using math we say c 2 =a 2 +b 2 b2b2 c2c2 their sum will ALWAYS.

4.4 Pythagorean Theorem and the Distance Formula Textbook pg 192.

Pythagoras' Theorem © Victoria Smith Begin. Right Angled Triangles Pythagoras’ Theorum will only work on a right angled triangle. ac b The longest side,

The Pythagorean Theorem Use the Pythagorean Theorem to find the missing measure in a right triangle including those from contextual situations.

Pythagoras c² a² b² c a b c² = a² + b² has the same area as the two smaller squares added together. The large square + PYTHAGORAS THEOREM is applied to.

The Pythagorean Theorem The Ladder Problem. Right Triangles Longest side is the hypotenuse, side c (opposite the 90 o angle) The other two sides are the.

Pythagorean Theorem and Special Right Triangles. Anatomy of a Right Triangle Why is a right triangle called a right triangle? Because it is a triangle.

Pythagorean Theorem & its Converse 8 th Grade Math Standards M.8.G.6- Explain a proof of the Pythagorean Theorem and its converse. M.8.G.7 - Apply the.

Pythagorean Theorem & Distance Formula Anatomy of a right triangle The hypotenuse of a right triangle is the longest side. It is opposite the right angle.

Understanding Pythagorean Theorem. Do You Remember? Find the value of each square root

Pythagorean Theorem OBJ: to use the Pythagorean theorem to solve problems.

Pythagorean Theorem. What is a right triangle? It is a triangle which has an angle that is 90 degrees. The two sides that make up the right angle are.

The Pythagorean Theorem

The Distance and Midpoint Formulas

c2 = a2 + b2 Pythagoras's Theorem c a b In any right angled triangle,

The Pythagorean Theorem

Midpoint And Distance in the Coordinate Plane

Pythagoras’ Theorem – Outcomes

12-2 The Pythagorean Theorem

Pythagoras’ Theorem and Trigonometry

Using the Pythagoras Theorem.

7.4 Special Right Triangles

Hyp Opp Adj c a b c 2 = a 2 + b 2 b 2 = c 2 - a 2 a 2 = c 2 - b 2 xo

Math 3-4: The Pythagorean Theorem

Section 5.5: Special Right Triangles

Pythagorean Theorem What is it??

5-7 The Pythagorean Theorem

5.7: THE PYTHAGOREAN THEOREM (REVIEW) AND DISTANCE FORMULA

5-3: The Pythagorean Theorem

The Pythagorean Theorem

Pythagorean Theorem a²+ b²=c².

Pythagorean Theorem Pre-Algebra.

Triangle Theorems.

4-6 Congruence in Right Triangles

Pythagoras' Theorem.

6.5 Pythagorean Theorem.

Chapter 3: Solving Equations

Geometric Reasoning.

Pythagoras’ Theorem.

The Pythagorean Theorem

5.1 Special Right Triangles

In a right triangle, the side opposite the right angle is called the hypotenuse. This side is always the longest side of a right triangle. The other.

Pythagorean Theorem Pre-Algebra.

10-1 The Pythagorean Theorem

Maths Unit 23 – Pythagoras & Trigonometry

Presentation transcript:

 Right Triangle – A triangle with one right angle.  Hypotenuse – Side opposite the right angle and longest side of a right triangle.  Leg – Either of the two sides that form the right angle. Leg Hypotenuse

 In a right triangle, if a and b are the measures of the legs and c is the measure of the hypotenuse, then a 2 + b 2 = c 2.  This theorem is used to find the length of any right triangle when the lengths of the other two sides are known. b a c

 Example 1: Find the length of the hypotenuse of a right triangle if a = 3 and b = c a 2 + b 2 = c 2

 Example 2: Find the length of the leg of the following right triangle a a 2 + b 2 = c 2 __________________

 Example 3: Find the length of the hypotenuse c when a = 11 and b = 4. Solution Solution 11 4 SOLUTION c

 Copy this triangle into your maths books.  Complete using the Pythagoras’ Theorem formula. C 12 10