12.3 The Pythagorean Theorem Objectives: Find a side length of a right triangle given the lengths of...

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 a real-world problems. Standard Addressed: 2.8.11.N: Solve quadratic equations.

Transcript of 12.3 The Pythagorean Theorem Objectives: Find a side length of a right triangle given the lengths of...

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.

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.
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.

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.

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.

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.

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.

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.