Find the perimeter and area: 2 ft 7 ft 3 ft Math 7 MIT Grace Wilday Junior High School “Raise the Praise”

Slides:

Advertisements

Similar presentations

Pythagorean Relationship 2 (Finding the length of the Hypotenuse)

Advertisements

Special Right Triangles

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 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.

Lesson Menu Main Idea and New Vocabulary Key Concept:Pythagorean Theorem Example 1:Find a Missing Length Example 2:Find a Missing Length Key Concept:Converse.

The Pythagorean Theorem Objective: Find the length of a using the Pythagorean Theorem.

About 2,500 years ago, a Greek mathematician named Pythagorus discovered a special relationship between the sides of right triangles.

The Pythagorean Theorem

The Pythagorean Theorem

4-9 The Pythagorean Theorem Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.

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.

Holt Course 2 NY-10 Using the Pythagorean Theorem NY-10 Using the Pythagorean Theorem Holt Course 2 Lesson Presentation Lesson Presentation.

HW # 52 - p. 207# 1-23 odd Test corrections (in a different color) Warm up Week 15, Day Two Write in exponential form · 6 · 6 · 6 · x · 3x.

4.7 – Square Roots and The Pythagorean Theorem. SQUARES and SQUARE ROOTS: Consider the area of a 3'x3' square: A = 3 x 3 A = (3) 2 = 9.

Objective The student will be able to:

Triangles and Lines – Special Right Triangles There are two special right triangles : 30 – 60 – 90 degree right triangle 45 – 45 – 90 degree right triangle.

Pythagorean Theorem By: Kierra Reber period 6 extra credit.

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

Topic 10 – Lesson 9-1 and 9-2. Objectives Define and identify hypotenuse and leg in a right triangle Determine the length of one leg of a right triangle.

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

Pythagorean Theorem - Thurs, Oct 7

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

Lesson 11-3 Pages The Pythagorean Theorem.

Special Right Triangles

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

Honors Geometry Section 5.5 Special Right Triangle Formulas.

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.

SOLUTION Finding Perimeter and Area STEP 1 Find the perimeter and area of the triangle. Find the height of the triangle. Pythagorean Theorem Evaluate powers.

Describes the relationship between the lengths of the hypotenuse and the lengths of the legs in a right triangle.

The Pythagorean Theorem

8-8 The Pythagorean Theorem Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

8-6 and 8-7 Square Roots, Irrational Numbers, and Pythagorean Theorem.

NJ ASK POD Angle A and Angle B are supplementary. Angle A is congruent to Angle C. If Angle C measures 115 degrees, what is the measure of Angle B? DO.

Find the volume of the following prisms: Math 7 MIT Grace Wilday Junior High School “Raise the Praise”

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

Find the area and perimeter of the rectangle.. Simplify each radical expression:

Main Idea and New Vocabulary Key Concept: Pythagorean Theorem

The Right Triangle and The Pythagorean Theorem

Preview Warm Up California Standards Lesson Presentation.

The Pythagorean Theorem

7.1 Apply the Pythagorean Theorem

The Pythagorean Theorem

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.

Main Idea and New Vocabulary Key Concept: Pythagorean Theorem

Pythagorean Theorem What is it??

6.2: Pythagorean Theorem Objectives:

5.7: THE PYTHAGOREAN THEOREM (REVIEW) AND DISTANCE FORMULA

7.0: Pythagorean Theorem Objectives:

Pythagorean Theorem a²+ b²=c².

11.7 and 11.8 Pythagorean Thm..

G3.2 Pythagorean Theorem Objectives:

right triangles Some right triangles are used so frequently that it is helpful to remember some of their properties. These triangles are called.

Pythagorean Theorem What is it and how does it work? a2 + b2 = c2.

The Pythagorean Theorem

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.

The Pythagorean Theorem a2 + b2 = c2

Presentation transcript:

Find the perimeter and area: 2 ft 7 ft 3 ft

Math 7 MIT Grace Wilday Junior High School “Raise the Praise”

 TLWBAT to use the Pythagorean Theorem to find the length of a side of a right triangle by finding 4 out of 5 missing lengths.  TLWBAT practice and prepare for the NJ Ask open response by successfully scoring a 2 or better on a sample open response on area and perimeter.   NJCCCS E.2  Common Core 7.G.B.6

Hypotenuse Leg In a right triangle, the two sides that form the right angle are called legs. The side opposite the right angle is called the hypotenuse. One of the first people to recognize the relationship between the sides of a right triangle was the Greek mathematician Pythagoras. This special relationship is called the Pythagorean Theorem.

You can use the Pythagorean Theorem to find the length of any side of a right triangle.

Use the Pythagorean Theorem to find the missing measure. Additional Example 1A: Calculating the Length of a Side of a Right Triangle 12 cm 16 cm a 2 + b 2 = c 2 c = c = c = c 2 The length of the hypotenuse is 20 cm. Use the Pythagorean Theorem. Substitute for a and b. Evaluate the powers. Add. Take the square root of both sides. 20 = c √ 400 = √ c 2

Additional Example 1B: Calculating the Length of a Missing Side of a Right Triangle Use the Pythagorean Theorem to find the missing measure. 5 cm b a 2 + b 2 = c 2 13 cm b 2 = b 2 = 169 b 2 = 144 The length of the missing leg is 12 cm. Use the Pythagorean Theorem. Substitute for a and c. Evaluate the powers. Take the square root of both sides. b = 12 –25 Subtract 25 from each side. √ b 2 = √ 144

Use the Pythagorean Theorem to find the missing measure. 11 cm 15 cm a 2 + b 2 = c 2 c = c = c = c 2 The length of the hypotenuse is about 18.6 cm. Use the Pythagorean Theorem. Substitute for a and b. Evaluate the powers. Add. Take the square root of both sides  c Check It Out: Example 1A √ 346 = √ c 2

Use the Pythagorean Theorem to find the missing measure. 3 cm b a 2 + b 2 = c 2 5 cm b 2 = b 2 = 25 b 2 = 16 The length of the missing leg is 4 cm. Use the Pythagorean Theorem. Substitute for a and c. Evaluate the powers. Take the square root of both sides. b = 4 –9 Subtract 9 from each side. Check It Out: Example 1B √ b 2 = √ 16

metry/right_triangles_topic/pyth_theor/e/p ythagorean_theorem_1 After Open Response:

Use the Pythagorean Theorem to identify the missing measure. A. 50 ft B. 60 ft C. 70 ft D. 80 ft CLOSURE