A B … and there is a slimy alligator in that pond.

Slides:



Advertisements
Similar presentations
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.
Advertisements

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.
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 Objective: Find the length of a using the Pythagorean Theorem.
Pythagorean Theorem By: Tytionna Williams.
4.4: THE PYTHAGOREAN THEOREM AND DISTANCE FORMULA
The Pythagorean Theorem Converse & Triangle Inequality Theorem  Pythagoras, circa 570 BC.
The Pythagorean Theorem
Benchmark 40 I can find the missing side of a right triangle using the Pythagorean Theorem.
Pythagorean Theorem Use the Pythagorean Theorem to find the missing length of the right triangle. 1.
The Pythagorean Theorem
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.
Holt Course 2 NY-10 Using the Pythagorean Theorem NY-10 Using the Pythagorean Theorem Holt Course 2 Lesson Presentation Lesson Presentation.
8-1 The Pythagorean Theorem and Its Converse.
Section 8-1: The Pythagorean Theorem and its Converse.
Objective The student will be able to:
Goal 1: To use the Pythagorean Theorem Goal 2: To use the Converse of the Pythagorean Theorem.
Squared & Square Root If you are given the area of a square, the length of 1 side is the square root of that area! If you are given the length of one side,
A b c
Learning Pythagoras theorem
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.
Chapter 1: Square Roots and the Pythagorean Theorem Unit Review.
The Pythagorean Theorem
M May Pythagoras’ Theorem The square on the hypotenuse equals the sum of the squares on the other two sides.
OBJECTIVE I will use the Pythagorean Theorem to find missing sides lengths of a RIGHT triangle.
Pythagorean Theorem What is it and how does it work? a 2 + b 2 = c 2.
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.
Exploring. Pythagorean Theorem For any right triangle, the area of the square on the hypotenuse is equal to the sum of the areas of the squares on the.
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.
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.
The Pythagorean Theorem
Geometry 7-5 Areas of Regular Polygons. Review Areas.
Pre-Algebra Q4W1: Pythagorean Theorem Objective: I can apply the Pythagorean Theorem to determine unknown side lengths in right triangles.
Parts of a Right Triangle A B C Leg Hypotenuse Acute Angle Right Angle Acute Angle R e m e m b e r t h a t t h e h y p o t e n u s e i s a l w a y s t.
Geometry Section 7.1 Apply the Pythagorean Theorem.
About 2500 years ago, Greek mathematician named Pythagoras (569 B.C.-500 B.C.) discovered a special relationship between the sides of a right angled.
The Pythagorean Theorem
The Distance and Midpoint Formulas
Right Triangle The sides that form the right angle are called the legs. The side opposite the right angle is called the hypotenuse.
The Pythagorean Theorem
Midpoint And Distance in the Coordinate Plane
The Converse of the Pythagorean Theorem
Section 7.2 Pythagorean Theorem and its Converse Objective: Students will be able to use the Pythagorean Theorem and its Converse. Warm up Theorem 7-4.
Pythagorean Theorem.
The Pythagorean Theorem c a b.
Math 3-4: The Pythagorean Theorem
The Pythagorean Theorem is probably the most famous mathematical relationship. As you learned in Lesson 1-6, it states that in a right triangle, the sum.
Warm up: Think About it! If the red, blue and green squares were made of solid gold; would you rather have the red square or both the blue and green square?
The Pythagorean Theorem c a b.
Pythagorean Theorem.
A B … and there is a slimy alligator in that pond.
5.7: THE PYTHAGOREAN THEOREM (REVIEW) AND DISTANCE FORMULA
Page 134 First, some definitions.
10.3 and 10.4 Pythagorean Theorem
Pythagorean Theorem a²+ b²=c².
LFP Writing Prompts.
Pythagorean Theorem What is it and how does it work? a2 + b2 = c2.
Pythagoras’ Theorem.
The Pythagorean Theorem
The Pythagorean Theorem
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.
10-1 The Pythagorean Theorem
The Pythagoras Theorem c a a2 + b2 = c2 b.
Converse to the Pythagorean Theorem
1-6: Midpoint and Distance
Presentation transcript:

A B … and there is a slimy alligator in that pond. … and there is a slimy pond in your way Suppose you have to find the distance from point A to point B A Excuse me? B

Without getting your feet wet you can measure the distance -- or nibbled on -- you can measure the distance with two little things. A measuring stick. And this Greek guy’s theory.

A B Then measure Start by measuring east to point B. south from point A. A Three units Seven units B

This is where the Greek dude comes in. His name is Pythagoras, and his theorem states that in a right triangle, the sum of the squares of the shorter legs is equal to the square of the hypotenuse.

𝟓𝟖 A B Square the length of each leg. Then add 9 + 49 and get 58. -- the hypotenuse. The square root of 58 is the length of the longest side Say what? 32 = 9 and 72 = 49 Did you say hippo? A 𝟓𝟖 It’s easy. B

The Pythagorean Theorem is represented by a2 + b2 = c2 with the shorter legs of the right triangle being ‘a’ and ‘b’ and the hypotenuse being ‘c’. c b a

So how far is it from point A to point B? Get a calcu-gator A B

Press 2ND 7.07 units Then 𝒙 𝟐 With the above it. Then 58. 𝟓𝟖