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Review

Review. Pythagorean Theorem. What is it used for? What is the formula?. Pythagorean Theorem. A triangle has a side of 12 units and a hypotenuse of 15 units. What is the length of the other side? . Pythagorean Practice.

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Review

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Presentation Transcript

  1. Review

  2. Pythagorean Theorem • What is it used for? • What is the formula?

  3. Pythagorean Theorem • A triangle has a side of 12 units and a hypotenuse of 15 units. What is the length of the other side?

  4. Pythagorean Practice • To get from point A to point B you must avoid walking through a pond.  To avoid the pond, you must walk 34 meters south and 41 meters east.  To the nearestmeter, how many meters would be saved if it were possible to walk through the pond? 

  5. Midpoint • What is the midpoint? • What is the formula for midpoint?

  6. Midpoint • Find the midpoint between points (-3,4) and (7, 10)

  7. Distance formula • What is the distance formula used for? • What is the formula?

  8. Distance Formula • What is the distance between the points (-3,4) and (7, 10) ? Round to the nearest tenth if necessary.

  9. Simplify the square root. • √ 833 x11 y2 • Rationalize the denominator. • 12 12

  10. Special 45⁰-45⁰-90⁰ Triangles • How do you recognize this special triangle? • What do you know about the legs of this triangle? • What do you know about the hypotenuse?

  11. Complete the triangle • The missing angle is? • The missing sides are? 4 2 45⁰

  12. The hypotenuse of an isosceles right triangle measures 5 feet. What is the area of the triangle? Round to the nearest tenth of a square foot.

  13. Special 30⁰-60⁰-90⁰ Triangles • How do you recognize this special triangle? • Where is the shortest leg located? • Where is the longest leg located? • What do you know about the legs of this triangle? • What do you know about the hypotenuse?

  14. Complete the triangle • The missing angle is? • The missing sides are? 7 3 60⁰

  15. A four-meter long pole leans against a house. If the pole makes an angle of 30° with the floor, how far up the wall does the pole reach? How far from the wall is the base of the pole? Round to the nearest tenth when necessary. • What is the area of the triangle created by this figure? Round to the nearest tenth if necessary.

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