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Today’s learning Target:

3.8B. Today’s learning Target:. I can use the Pythagorean Theorem to find the leg of a right triangle. 3.8B. Solve for the unknown side in the right triangle to the nearest tenth. a 2 + b 2 = c 2. 25. 7 2 + b 2 = 25 2. b. 49 + b 2 = 625. –49 –49. b 2 = 576. 7.

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Today’s learning Target:

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  1. 3.8B Today’s learning Target: I can use the Pythagorean Theorem to find the leg of a right triangle.

  2. 3.8B Solve for the unknown side in the right triangle to the nearest tenth. a2 + b2 = c2 25 72 + b2 = 252 b 49 + b2 = 625 –49 –49 b2 = 576 7 b = 24

  3. 3.8B Solve for the unknown side in the right triangle to the nearest tenth. a2 + b2 = c2 12 b 42 + b2 = 122 16 + b2 = 144 –16 –16 4 b2 = 128 b11.3

  4. 3.8B Two airplanes leave the same airport at the same time. The first plane flies to a landing strip 350 miles south, while the other plane flies to an airport 725 miles west. How far apart are the two planes after they land? Draw and label a triangle. 725 a2 + b2 = c2 Pythagorean Theorem 350 3502 + 7252 = c2 122,500 + 525,625 = c2 648,125 = c2 805 ≈ c The two planes are approximately 805 miles apart.

  5. 3.8B Two birds leave the same spot at the same time. The first bird flies to his nest 11 miles south, while the other bird flies to his nest 7 miles west. How far apart are the two birds after they reach their nests? 7 a2 + b2 = c2 Draw and label a triangle. Pythagorean Theorem 112 + 72 = c2 11 121 + 49 = c2 170 = c2 13 ≈ c The two birds are approximately 13 miles apart.

  6. 2624 ≈ 51 ft 3.8B Did you master today’s learning target? Use the figure for Problems 1 and 2. 1. Find the height h of the triangle. 8 m 2. Find the length of side c to the nearest meter. c 10 m h 12 m 3. An escalator is 32 ft tall and 40 ft from a wall. What distance does the escalator carry shoppers? 6 m 9 m

  7. 3.8B Section 3.8B Handout Front side: ALL Back Side: choose your favorite 4! For All: SHOW YOUR WORK Label your triangles on the back page.

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