Do Now 5/11/10

1
Do Now 5/11/10

• Copy HW in your planner.
• Text p. 740, 4-22 evens, 34
• In your notebooks, simplify the following
  expressions.

2
Objective

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

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Section 11.4The Pythagorean Theorem

• For any RIGHT TRIANGLE, the sum of the squares of
  the lengths of the legs, a and b, equals the
  square of the length of the hypotenuse, c.

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

c
a
b
6
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.

b
a
c
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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.

Because length cannot be negative, x is equal to
1. The sides of the triangle are 1, 3, and the
square root of 10.
8

• 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?
  

15 feet
9 feet
9

• 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?
  

17 feet
8 feet
10
Homework Text p. 740, 4-22 evens, 34