# + + rds + Pythagoras Definition: SURD FORM

+ + rds + Pythagoras Definition: SURD FORM a b c 0 1 7 Where a, b and c are rational numbers 7 3 9 39 5

5 4 4 4 starter SURDS are 49 1 3 5 6.34812 are not 7 4 3 19

1 6 2 4 5 2 Notes: Reminder: ab = a b and for example:

a/b = /b a Surds KUS objectives BAT simplify Surds in different types of problems Simplify Challenge Draw a line with a length of exactly 5 units

B A Click for a hint: C WB22 Pythagoras reminder B Find length BC and express your answer as an exact simplified value 6 BC2 = 62 + 42 BC = 52 BC = 4 13 BC = 2 13

A 4 C C WB 23 Pythagoras B is (11 , 6) C is ( 1.5, 10) and D is (-2, 3) a) Show that length BC is b) Show that length CD is BC 2 4

19 2 2 42 19 2 BC 2 361 4 16 64 425 BC 2 361 4 4 4

BC 425 4 25 17 4 5 217 B WB 24a C 14

A D 2 B E Write the lengths of AB and DF in the form F [3] WB 24b find the missing length and give the answer as a simplified surd (all triangles are RATS) E

B A H ? G 8 ? 11 ? J 50 5

F D C 5 6 ? 48 I K 30

L Pythagoras problem: WB 25a What is the exact area of the triangle? 5 5 25 5 Height triangle = Area triangle = 1 2

20 5 20 1 2 100 5 WB 25b Try these (find the area): 26 34 2 Ans: 4 8

Ans: 6 19 15 30 Ans: 7.5 12 Ans: 21 KUS objectives BAT self-assess One thing learned is

One thing to improve is END Practice Ex 1A HWK 1B

## Recently Viewed Presentations

• Senator . Chris Coons, the Delaware Democrat, told me . that . his longtime colleague [Senator Lindsey Graham] is "hysterically funny" and "personally engaging." The attribution predicate(1) would be marked as nucleus. But it is the assessment of Graham that...
• Satire can sometimes use parody to make a point (but not all parodies are satire!) Parody makes fun of another work by imitating some aspect of it. Parody is meant for mocking and does not contain anything serious. Parody is...
• Would you be willing to decrease the amount of meat you consume (i.e., eat lower on the food chain) to decrease your ecological footprint? Yes, if the extra food was sent to countries with starving people. Yes, because it would...
• Hess's Law If you add two or more thermochemical equations to give a final equation, then you can also add the heats of reaction to give the final heat of reaction.
• Fletcher v. Peck: voids Georgia law violating right to make contract. ... it would become increasingly difficult in the future to argue that the union was a creation of the states, that states could exert an independent check on federal...
• Propaganda FDR's 4 Freedoms Japanese Internment: Executive Order 9066 Women and African Americans Conclusion How would you modify your response to the "Do Now" statement? What evidence would you cite? Topic: Evaluating the impact of WW II on the Home...
• Abby yelled, "Don't treat me like Cinderella. I cannot get all that stuff done!" We can tell that the little kid is trying to have the force. The other one is of katniss and it draws to Ancient Rome. Third...
• Multiplying and Dividing in Scientific Notation Multiplying Numbers in Scientific Notation Multiply the decimal numbers together. Add the exponents to get the power of 10.