The Pythagorean Theorem Only works for right triangles.

Slides:



Advertisements
Similar presentations
Created by G. Antidormi 2003 The Pythagorean Theorem.
Advertisements

EXAMPLE 4 SOLUTION Method 1: Use a Pythagorean triple. A common Pythagorean triple is 5, 12, 13. Notice that if you multiply the lengths of the legs of.
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 Right Triangle A right triangle is a triangle that contains one right angle. A right angle is 90 o Right Angle.
4.9 Pythagorean Theorem Standard: MG 3.3 Objective: Find the missing side of a right triangle.
EXAMPLE 1 Find the length of a hypotenuse SOLUTION Find the length of the hypotenuse of the right triangle. (hypotenuse) 2 = (leg) 2 + (leg) 2 Pythagorean.
EXAMPLE 1 Find the length of a hypotenuse SOLUTION Find the length of the hypotenuse of the right triangle. (hypotenuse) 2 = (leg) 2 + (leg) 2 Pythagorean.
The Pythagorean Theorem. 8/18/20152 The Pythagorean Theorem “For any right triangle, the sum of the areas of the two small squares is equal to the area.
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
10.5 – The Pythagorean Theorem. leg legleg hypotenuse hypotenuse leg legleg.
Pythagorean Theorem Mr. Parks Algebra Support. Objective The student will be able to: Find the missing side of a right Triangle using the Pythagorean.
Benchmark 40 I can find the missing side of a right triangle using the Pythagorean Theorem.
MA.912.G.5.1 : Apply the Pythagorean Theorem and its Converse. A.5 ft B.10 ft C. 15 ft D. 18 ft What is the value of x? x 25 ft 20 ft.
Pythagorean Theorem Use the Pythagorean Theorem to find the missing length of the right triangle. 1.
Section 11.6 Pythagorean Theorem. Pythagorean Theorem: In any right triangle, the square of the length of the hypotenuse equals the sum of the squares.
The Pythagorean Theorem. The Parts of a right triangle a b c l egs hypotenuse a² + b² = c².
DALTON DICKSON MRS. BISHOP 5 TH PERIOD How to Use Pythagorean Theorem.
Objective The student will be able to:
Created by Jeremy Hamilton The Pythagorean therom will only work on right triangles because a right triangle is the only triangle with a hypotenuse and.
Triangles and Lines – Special Right Triangles There are two special right triangles : 30 – 60 – 90 degree right triangle 45 – 45 – 90 degree right triangle.
Monday, March 2 Approximate square roots on a calculator. Solve square root equations. Use Pythagorean Theorem to find missing dimension on a right triangle.
Pythagorean Theorem Unit 7 Part 1. The Pythagorean Theorem The sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.
The Pythagorean Theorem
OBJECTIVE I will use the Pythagorean Theorem to find missing sides lengths of a RIGHT triangle.
3.4 Is It A Right Triangle? Pg. 13 Pythagorean Theorem Converse and Distance.
Aileen is making a flag for one of her classes. The flag is in the shape of a right triangle. If the two sides of the triangle are 5 inches and 12 inches,
Pythagorean Theorem What is it and how does it work? a 2 + b 2 = c 2.
4.7 – Square Roots and The Pythagorean Theorem Day 2.
4.4 Pythagorean Theorem and the Distance Formula Textbook pg 192.
RIGHT TRIANGLES A RIGHT TRIANGLE is a triangle with one right angle. a b c Sides a and b are called legs. Side c is called the hypotenuse.
The Pythagorean Theorem Use the Pythagorean Theorem to find the missing measure in a right triangle including those from contextual situations.
Math Enrichment Problems DAY ‘ 50 ‘ Do you see now that a rectangle is made up of two right triangles? To find the distance from one corner to the.
Pythagorean Theorem What’s the Angle?. A Little Story Time...
Algebra 1 Predicting Patterns & Examining Experiments Unit 5: Changing on a Plane Section 2: Get to the Point.
10-1 The Pythagorean Theorem. LEGS Hypotenuse Problem 1: Finding the Length of a Hypotenuse The tiles shown below are squares with 6-in. sides. What.
Objective The student will be able to: use the Pythagorean Theorem Designed by Skip Tyler, Varina High School.
Over Lesson 10–4 5-Minute Check 1. Over Lesson 10–4 5-Minute Check 2.
8-6 and 8-7 Square Roots, Irrational Numbers, and Pythagorean Theorem.
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.
Midpoint and distance formulas
Pre-Algebra Q4W1: Pythagorean Theorem Objective: I can apply the Pythagorean Theorem to determine unknown side lengths in right triangles.
Pythagorean Theorem and it’s Converse
The Distance and Midpoint Formulas
Objective The student will be able to:
Standard: MG 3.3 Objective: Find the missing side of a right triangle.
Finding the Hypotenuse
Objective The student will be able to:
The Pythagorean Theorem
a2 + b2 = c2 Pythagorean Theorem c c b b a a
Notes Over Pythagorean Theorem
Pythagorean Theorem RIGHT TRIANGLE Proof that the formula works!
6-3 The Pythagorean Theorem Pythagorean Theorem.
5-7 The Pythagorean Theorem
Chapter 1: Lesson 1.1 Rectangular Coordinates
Math Humor Q: What keeps a square from moving?.
5.7: THE PYTHAGOREAN THEOREM (REVIEW) AND DISTANCE FORMULA
5-3: The Pythagorean Theorem
Unit 5: Geometric and Algebraic Connections
Pythagorean Theorem What is it and how does it work? a2 + b2 = c2.
If a triangle is a RIGHT TRIANGLE, then a2 + b2 = c2.
Pythagorean Theorem, its Converse and the coordinate system
Objective The student will be able to:
Objective The student will be able to:
Objective The student will be able to:
Objective The student will be able to:
Objective The student will be able to:
10-1 The Pythagorean Theorem
Triangle Relationships
Presentation transcript:

The Pythagorean Theorem Only works for right triangles

Notes a b c hypotenuse

Visualization 3 4 5

Notes On a right triangle, where c is the length of the hypotenuse, you can find missing lengths given two of them.

Using the Formula a = 3, b = c

Using the Formula a = 6, b= c

Using the Formula a = 5, b = 12

Using the Formula a = 5, b = 6

Squaring a Square Root

Using the Formula

Using the Formula

Using the Formula

Closure Mark is driving to the store and wants to take the shortest route. Use the picture below to determine the shortest route and give the distance. 10 miles 24 miles home store library