What is the square root of C 2









- Slides: 9
What is the square root of C 2 2 C 4 15 c 10 = c 4 ? ? 15 10
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How can you understand this? c a Which standard was most important for doing well on yesterdays test. c 2 = a 2 + b 2 b 8. 2. F Demonstrate the Pythagorean Theorem and its converse and apply them to solve problems. 8. 2. G Apply the Pythagorean Theorem to determine the distance between two points on the coordinate plane. 8. 1. A Solve one-variable linear equations. 8. 2. E Quickly recall the square roots of the perfect squares from 1 through 400 and estimate the square roots of other positive numbers. 7. 1. C Fluently and accurately add, subtract, multiply, and divide rational numbers.
Finding length the hypotenuse Now let’sthe apply the of Pythagorean is easy ifto you knowdistance the perfect Theorem finding between squares to 400 two points C 2 = a 2 + b 2 C 2 = 52 + 122 C 2 = 25 + 144 C 2 = 169 5 BUT WHAT DOES C equal? 12 C = 13 169
How could you use the Pythagorean Theorem to find the length of segment AB. Y What is the RISE from A to B? C 6 B What is the RUN from A to B? 9 C-2 3==a 62 + b 2 13 What kind of triangle do we have? 2 = 62 + 132 C C= 205 C 2 = 36 + 169 . (3, 5) What is the length of segment AB A What is the approximate length of C= 205 . (9, 18) What is the length of segment AB? A C 2 = 205 BUT WHAT DOES C equal? 18 – 5 = 13 X
Now let’s see if you can find the length of a line segment on a coordinate plane 1. Take a sheet of graph paper one team of 4 students. 2. Set up the x and y axis where the origin is on the center of the graph paper. 3. Plot the point A(1, 4) and point B(6, 9) 4. Now what is the length of segment AB
Work in a group of 4 • One team member will set up the x and y axis and plot Point A(1, 4) and Point B(6, 9) • The 2 nd team member will determine the RISE • The 3 rd team member will determine the RUN. • The 4 th team member will determine the length of line segment AB.
Now Change your Jobs 1. Plot the points 2. Determine the length of the RISE 3. Determine the length of the RUN. 4. Determine the length of the SEGMENT What is the length. CD C(3, 8) D(5, 10) EF E(0, 7) F(4, 11) GH G(5, 9) H(9, 6)