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The Pythagorean Theorem Part 2. The bases on a baseball diamond are 90 feet apart. How far is it from home plate to second base? 90 ft c a b a² + b² =

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Presentation on theme: "The Pythagorean Theorem Part 2. The bases on a baseball diamond are 90 feet apart. How far is it from home plate to second base? 90 ft c a b a² + b² ="— Presentation transcript:

1 The Pythagorean Theorem Part 2

2 The bases on a baseball diamond are 90 feet apart. How far is it from home plate to second base? 90 ft c a b a² + b² = c² 90² + 90² 8100 + 8100 16200 = c² 16200 = 127.28 ft √

3 An 18 foot ladder is leaned against a wall. If the base of the ladder is 8 feet from the wall, how high up on the wall will the ladder reach? 18 ft. 8 ft c a b a² + b² = c² 8² + b² = 18² 64 + b² = 324 b² = 260 260 = 16.12 √

4 From Canoeville it is 2.4 kilometers to White Beach and 3.0 kilometers to the Lodge. How far is it from White Beach across the lake to the Lodge? Canoeville White Beach Lodge 2.4 km 3.0 km c a b a² + b² = c² a² + 2.4² = 3² a² + 5.76 = 9 a² = 3.24 3.24 = 1.8 √

5 Page 377 – 378 1 – 8 all skip 5b and 6

6 The bases on a baseball diamond are 90 feet apart. How far is it from home plate to second base? a² + b² = c² = c² √

7 An 18 foot ladder is leaned against a wall. If the base of the ladder is 8 feet from the wall, how high up on the wall will the ladder reach? a² + b² = c² b² √

8 From Canoeville it is 2.4 kilometers to White Beach and 3.0 kilometers to the Lodge. How far is it from White Beach across the lake to the Lodge? Canoeville White Beach Lodge a² + b² = c² a² √


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