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Side lengths form - PowerPoint PPT Presentation

5-7

5-7

5-7. The Pythagorean Theorem. Warm Up. Lesson Presentation. Lesson Quiz. Holt Geometry. Warm Up Classify each triangle by its angle measures. 1. 2. 3. Simplify 4. If a = 6, b = 7, and c = 12, find a 2 + b 2 and find c 2 . Which value is greater?. acute. right. 12.

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383 views • 32 slides
Use the Pythagorean Theorem and its converse to solve problems.

Use the Pythagorean Theorem and its converse to solve problems.

Objectives. Use the Pythagorean Theorem and its converse to solve problems. Use Pythagorean inequalities to classify triangles. Vocabulary. Pythagorean triple.

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522 views • 30 slides
The Pythagorean Theorem

The Pythagorean Theorem

27.1. The Pythagorean Theorem. Warm Up. Lesson Presentation. Lesson Quiz. Holt McDougal Geometry. Holt Geometry. 27.1. Review Classify each triangle by its angle measures. 1. 2. 3. Simplify

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204 views • 20 slides
5-7

5-7

5-7. The Pythagorean Theorem. Warm Up. Lesson Presentation. Lesson Quiz. Holt Geometry. Warm Up Classify each triangle by its angle measures. 1. 2. 3. Simplify 4. If a = 6, b = 7, and c = 12, find a 2 + b 2 and find c 2 . Which value is greater?. acute. right. 12.

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279 views • 19 slides
Use the Pythagorean Theorem and its converse to solve problems.

Use the Pythagorean Theorem and its converse to solve problems.

Objectives. Use the Pythagorean Theorem and its converse to solve problems. Use Pythagorean inequalities to classify triangles. In a right triangle, the sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse. a 2 + b 2 = c 2.

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174 views • 17 slides
Example 1: Using the Pythagorean Theorem

Example 1: Using the Pythagorean Theorem

The Pythagorean Theorem is probably the most famous mathematical relationship. In a right triangle, the sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse.

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Pythagoras (580 - 500 B.C.)

Pythagoras (580 - 500 B.C.)

Pythagoras (580 - 500 B.C.) He was a Greek philosopher responsible for important developments in mathematics, astronomy and the theory of music. hypotenuse (c). leg (b). leg (a). The Pythagorean Theorem.

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The Pythagorean Theorem and Its Converse

The Pythagorean Theorem and Its Converse

The Pythagorean Theorem and Its Converse. OBJECTIVE: To use the Pythagorean Theorem and its converse BIG IDEAS: MEASUREMENT REASONING AND PROOF ESSENTIAL UNDERSTANDINGS:

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128 views • 10 slides
9.3 The converse of the Pythagorean thm

9.3 The converse of the Pythagorean thm

9.3 The converse of the Pythagorean thm. How do I use the Converse of the Pythagorean Theorem to solve problems? How do I use side lengths to classify triangles by their angle measures?. Thm 9.5 converse of the Pythagorean thm. If c 2 =a 2 +b 2 , then ? ABC is a right ?. B. c. a. A. C.

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220 views • 7 slides
SOLUTION

SOLUTION

17 2. =. h 2. + 15 2. h 2. + 225. 289. =. h 2. 64. =. h. 8. =. Finding Perimeter and Area. EXAMPLE 2. Find the perimeter and area of the triangle. SOLUTION. STEP 1. Find the height of the triangle. Pythagorean Theorem. Evaluate powers. Subtract 225 from each side.

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190 views • 6 slides

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