1 / 10

The Pythagorean Theorem

The Pythagorean Theorem. We are learning to…solve for the missing side of right triangles using the Pythagorean Theorem. Friday, August 8, 2014. The Pythagorean Theorem. Right Triangle – a triangle with one right angle Make a drawing of a right triangle.

adara
Download Presentation

The Pythagorean Theorem

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. The Pythagorean Theorem We are learning to…solve for the missing side of right triangles using the Pythagorean Theorem. Friday, August 8, 2014

  2. The Pythagorean Theorem • Right Triangle – a triangle with one right angle • Make a drawing of a right triangle. • Why can a right triangle not have more than one right angle? • Hypotenuse – the longest side of a right triangle; can always be found across from the right angle on a right triangle. • Label the hypotenuse on your drawing. • Leg of a Right Triangle – the two other sides of the triangle which are not the hypotenuse • Label the legs on your drawing. Hypotenuse Leg Leg

  3. The area of squares built on the legs of a right triangle are equal to the sum of the area of the square built on the hypotenuse. What Pythagoras Discovered: 9 + 16 = 25 25 square units Area of square on a leg + Area of square on a leg = Area of square on a hypotenuse 3 5 5 a 3 c 9 square units b (a)(a) = (c)(c) + (b)(b) 4 a2 + b2 = c2 …this is known as the Pythagorean Theorem 16 square units 4 We can use the Pythagorean Theorem to solve for missing sides of right triangles.

  4. The Pythagorean TheoremExample #1 ? 5 cm 12 cm We are looking for the hypotenuse! a2 + b2 = c2 52 + 122 = c2 25 + 144 = c2 169 = c2 The missing length of the hypotenuse is 13 centimeters long.

  5. The Pythagorean TheoremExample #2 25 ft 24 ft ? We are looking for a leg! a2 + b2 = c2 a2 = 49 a2 + 242 = 252 a2 + 576 = 625 a = 7 a2 + 576 – 576 = 625 – 576 The missing length of the leg is 7 feet.

  6. The Pythagorean TheoremExample #3 15 m 8 m ? We are looking for the hypotenuse! a2 + b2 = c2 82 + 152 = c2 64 + 225 = c2 289 = c2 The missing length of the hypotenuse is 17 meters long.

  7. The Pythagorean TheoremExample #4 20 in 29 in ? We are looking for a leg! a2 + b2 = c2 a2 = 441 a2 + 202 = 292 a2 + 400 = 841 a = 21 a2 + 400 – 400 = 841 – 400 The missing length of the leg is 21 inches.

  8. Find the length of the missing side of the right triangle below: ? • 43 meters • 50 meters • 52 meters • 68 meters • I need help. 48 m 20 m

  9. A rectangular garden has the dimensions shown below. 29 m 20 m • 441 meters • 25 meters • 21 meters • 35.2 meters • I need help. ? Find the missing length of the garden.

  10. In class, Juanita sits directly in front of Harold, 8 feet away, and directly to the left of Ian, 6 feet away.What is the distance, in feet, from Ian to Harold? • 10 feet • 14 feet • 5.29 feet • 100 feet • I need help.

More Related