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Geometry Class - Pythagorean Theorem and Geometric Mean

Learn to find geometric mean between numbers, solve right triangle problems, and master Pythagorean Theorem for triangle sides. Homework includes practice exercises and reading. Quiz scheduled for Thursday.

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Geometry Class - Pythagorean Theorem and Geometric Mean

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  1. 1/30/12 Chapter 6 Test • HW : pg 346 #21-26 , 33, 34; pg 363 #46, 48

  2. 1/31/12 Sect. 7.1 Geometric Mean • Obj: Find the geometric mean between 2 numbers. Solve problems involving relationships between parts of a right triangle and the altitude to its hypotenuse. • Bell Ringer: • is the geometric mean between a and b. Find a, if b = 5. • Draw right ∆PQR, with vertex right Q. Draw altitude QS. PS = 7, QS = 8. What is RS? Find the geometric mean between the two numbers. • HW Requests: HW : pg 346 #21-26 , 33, 34; pg 363 #46, 48 • Homework: • HW:pg 346 #27-32, 35-38, 41, #44 Read section 7.2 • Announcements: • Math Team Yearbook pictures Today

  3. 2/1/12 Sect. 7.2 Pythagorean Theorem: • SWBAT use Thm 7.3 effectively and use the Pythagorean Thm to find the lengths of the sides of a right triangle and will be able to find Pythagorean triples. • Bell Ringer: • HW Requests: pg 346 #27-32, 35-38, 41, 44 • In class: Worksheet Practice 7.1, 7.2; • HW: pg 354 #12-28 evens, 40, 42; Read section 7.3 • Announcements: Quiz 7.1 Thursday

  4. Parts of a RightTriangle Hypotenuse is across from the right angle and is the longest side of the triangle

  5. Pythagorean Theorem Read Thm 7.4. Given 3 sides of a rt. ∆, a2 + b2 =c2 where a, b, c are sides of the ∆. C, the hypotenuse (opposite the right ) is the longest side. Ex 1: a=3, b = 9, Find the hypotenuse. a=4, c = , Find b. Ex. 2: a=6, b=7, Find c. b= 4, c=5, Find a.

  6. Pythagorean Theorem Read Thm 7.5. If a2 + b2 =c2, then ∆ABC is a rt. ∆ . a=6, b= 8, c= 10 @ Pythagorean Triple 3 whole numbers that satisfy a2 + b2 =c2 The largest number is longest side, the hypotenuse, c. If side lengths form a Pythagorean Triple, the ∆ is a rt. ∆. Ex. Triple 3,4,5; 6, 8, 10 pg. 354 #8, 9

  7. 2/2/12 Sect. 7.2 Pythagorean Theorem: • SWBAT use Thm 7.3 effectively and use the Pythagorean Thm to find the lengths of the sides of a right triangle and will be able to find Pythagorean triples. • Bell Ringer: Quiz 7.1 (10 minutes) • HW Requests: pg 346 #35-38, 41, 44; pg354 #12-28 evens, 40, 42; • In class Credit:Worksheet Practice 7.2, 7.1 odds; • HW: Worksheet, Special Assignment; Read section 7.3

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