Turn to Page S.76 Describe what you know about the triangle listed to the left. What type of triangle is it? What are the labels A , B , and C ? What are.

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Presentation transcript:

Turn to Page S.76 Describe what you know about the triangle listed to the left. What type of triangle is it? What are the labels A , B , and C ? What are the labels a , b , and c ?  It is a right triangle.  They are vertices that form the triangle.  The a and b are legs of the right triangle and c is the hypotenuse.

Perfect Squares for # 1-25

How many right triangles are formed in the figure shown below?

A better way of stating the Pythagorean Theorem would be to write it as: leg + leg = hypotenuse 2 2 2

A better way of stating the Pythagorean Theorem would be to write it as: leg + leg = hypotenuse 2 2 2

A better way of stating the Pythagorean Theorem would be to write it as: leg + leg = hypotenuse 2 2 2

5 b 13 144 = b 25 + ? = 169 25 + 144 = 169 b = 12 ? Is = Solution: On the lined paper (first page), write down this problem and draw the triangle as shown – Use the top half of the page only. = 5 b 13 ? 25 + ? = 169 Is Rational or Irrational? Solution: b = 12 25 + 144 = 169 144 = b

4 9 c 97 = c 16 + 81 = ? 16 + 81 = 97 ? Is = Rational or Irrational? On the lined paper (first page), write down this problem and draw the triangle as shown – Use the bottom half of the page only. ? = 4 9 c Is Rational or Irrational? 16 + 81 = ? 16 + 81 = 97 97 = c C would be between what two integers?

Write down this question in the open space on page S.76 What does this triangle look like? Draw a sketch below in the box: EXPLANATION (Explain your steps): _______________________________________________________________________________________________________________________________________________________________________________________________________________________ What must be true about your triangle? _________________________________________________________________________________________________________________________________ How will you use the Pythagorean Theorem? ______________________________________________________________________________________

Use the Pythagorean Theorem: 58 = c 58 7.61577310586

9 12 15 Turn to Page S.78 = c a b Name the legs of the triangle below: Segment _________ Length of Segment __________ Name the hypotenuse below: Segment __________ c a b = 9 12 15

=

Turn to Page S.79 = 4 5 7

On the lined paper (after page S On the lined paper (after page S.79), write down these problems and draw the triangles as shown – Section off your page to fit all 4 problems.