Do Now 5/11/10 Copy HW in your planner. Copy HW in your planner. –Text p. 740, #4-22 evens, #34 In your notebooks, simplify the following expressions.

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Presentation transcript:

Do Now 5/11/10 Copy HW in your planner. Copy HW in your planner. –Text p. 740, #4-22 evens, #34 In your notebooks, simplify the following expressions. In your notebooks, simplify the following expressions.

Objective SWBAT use the Pythagorean Theorem and solve a right triangle. SWBAT use the Pythagorean Theorem and solve a right triangle.

Section 11.4 The Pythagorean Theorem For any RIGHT TRIANGLE, the sum of the squares of the lengths of the legs, a a a a and b, equals the square of the length of the hypotenuse, c. a b c

The Right Triangle a c b hypotenuse (always across from the right angle (always across from the right angle and always the longest side ). and always the longest side ). legs right angle (90°) (90°)

Solving a Right Triangle In the triangle below, c = 10 and a = 6. Use the Pythagorean Theorem to find the length of the other leg. In the triangle below, c = 10 and a = 6. Use the Pythagorean Theorem to find the length of the other leg. a b c

Solving a Right Triangle In the triangle below, a = 8 and b = 12. Use the Pythagorean Theorem to find the length of the other leg. In the triangle below, a = 8 and b = 12. Use the Pythagorean Theorem to find the length of the other leg. a b c

Solving a Right Triangle A right triangle has on leg that is two inches longer than the other leg. The length of the hypotenuse is the square root of 10. Find the unknown lengths. A right triangle has on leg that is two inches longer than the other leg. The length of the hypotenuse is the square root of 10. Find the unknown lengths. Because length cannot be negative, x is equal to 1. The sides of the triangle are 1, 3, and the square root of 10.

Your cat is at the top of a 15 foot tree. The bottom of the ladder that you will use will be placed 9 feet from the base of the tree. Can you reach the cat if the ladder is 20 feet in length? 9 feet 15 feet

Your cat is at the top of a 17 foot tree. The bottom of the ladder that you will use will be placed 8 feet from the base of the tree. Can you reach the cat if the ladder is 18 feet in length? 8 feet 17 feet

Homework Text p. 740, #4-22 evens, #34