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1/30/12 Chapter 6 Test HW : pg 346 #21-26 , 33, 34; pg 363 #46, 48. 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:
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1/30/12 Chapter 6 Test • HW : pg 346 #21-26 , 33, 34; pg 363 #46, 48
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
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
Parts of a RightTriangle Hypotenuse is across from the right angle and is the longest side of the triangle
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.
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
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