12.3 The Pythagorean Theorem Objectives: Find a side length of a right triangle given the lengths of...
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12.3 The Pythagorean Theorem Objectives: Find a side length of a right triangle given the lengths of its other 2 sides. Apply the Pythagorean Theorem to a real-world problems. Standard Addressed: 2.8.11.N: Solve quadratic equations.
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![Page 1: 12.3 The Pythagorean Theorem Objectives: Find a side length of a right triangle given the lengths of its other 2 sides. Apply the Pythagorean Theorem to.](https://reader036.fdocuments.us/reader036/viewer/2022083007/56649e6f5503460f94b6c572/html5/thumbnails/1.jpg)
12.3 The Pythagorean Theorem
Objectives: Find a side length of a right triangle given the lengths of its other 2 sides. Apply the Pythagorean Theorem to a real-world problems.
Standard Addressed: 2.8.11.N: Solve quadratic equations.
![Page 2: 12.3 The Pythagorean Theorem Objectives: Find a side length of a right triangle given the lengths of its other 2 sides. Apply the Pythagorean Theorem to.](https://reader036.fdocuments.us/reader036/viewer/2022083007/56649e6f5503460f94b6c572/html5/thumbnails/2.jpg)
![Page 3: 12.3 The Pythagorean Theorem Objectives: Find a side length of a right triangle given the lengths of its other 2 sides. Apply the Pythagorean Theorem to.](https://reader036.fdocuments.us/reader036/viewer/2022083007/56649e6f5503460f94b6c572/html5/thumbnails/3.jpg)
Ex. 1
![Page 4: 12.3 The Pythagorean Theorem Objectives: Find a side length of a right triangle given the lengths of its other 2 sides. Apply the Pythagorean Theorem to.](https://reader036.fdocuments.us/reader036/viewer/2022083007/56649e6f5503460f94b6c572/html5/thumbnails/4.jpg)
Ex. 2
![Page 5: 12.3 The Pythagorean Theorem Objectives: Find a side length of a right triangle given the lengths of its other 2 sides. Apply the Pythagorean Theorem to.](https://reader036.fdocuments.us/reader036/viewer/2022083007/56649e6f5503460f94b6c572/html5/thumbnails/5.jpg)
Ex. 3 Find the hypotenuse of a right triangle whose legs are 36 and 48 units long.
C2 = 362 + 482
C2 = 1296 + 2304C2 = 3600C = 60
![Page 6: 12.3 The Pythagorean Theorem Objectives: Find a side length of a right triangle given the lengths of its other 2 sides. Apply the Pythagorean Theorem to.](https://reader036.fdocuments.us/reader036/viewer/2022083007/56649e6f5503460f94b6c572/html5/thumbnails/6.jpg)
Ex. 4
![Page 7: 12.3 The Pythagorean Theorem Objectives: Find a side length of a right triangle given the lengths of its other 2 sides. Apply the Pythagorean Theorem to.](https://reader036.fdocuments.us/reader036/viewer/2022083007/56649e6f5503460f94b6c572/html5/thumbnails/7.jpg)
Ex. 5 Find the height of a pyramid whose square base measures 36 meters on each side and whose slant height is 60 meters.
AC = (½) (36) 18602 = BC2 + 182
602 – 182 = BC2
3276 = BC2
57.24 meters
![Page 8: 12.3 The Pythagorean Theorem Objectives: Find a side length of a right triangle given the lengths of its other 2 sides. Apply the Pythagorean Theorem to.](https://reader036.fdocuments.us/reader036/viewer/2022083007/56649e6f5503460f94b6c572/html5/thumbnails/8.jpg)