1 / 10

Bellringer

Bellringer. Simplify the radical. The Pythagorean Theorem and its Converse. 7-2. 7-2 The Pythagorean Theorem. Objectives Use the Pythagorean Theorem Use the converse of the Pythagorean Theorem. Theorem 7-4.

wayne
Download Presentation

Bellringer

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. Bellringer • Simplify the radical.

  2. The Pythagorean Theorem and its Converse 7-2

  3. 7-2 The Pythagorean Theorem • Objectives • Use the Pythagorean Theorem • Use the converse of the Pythagorean Theorem

  4. Theorem 7-4 • Pythagorean Theorem In a right triangle, the sum of the squares of the measures of the legs equals the square of the measure of the hypotenuse.

  5. Example 1 Find the Length of the Hypotenuse • CONSTRUCTIONAnita and her father are building an addition on their home. A section of a new wall is 6 feet wide and 8 feet high. The are installing a diagonal brace to make sure that the vertical boards are perpendicular to the horizontal boards. How long does the brace need to be?

  6. Work it • Example 2 Find the Length of a Leg. Find x. 16

  7. Theorem 7.5 • Converse of the Pythagorean Theorem If the sum of the squares of the measures of two sides of a triangle equals the square of the measure of the longest side, then the triangle is a right triangle.

  8. Verify a Triangle is a Right Triangle • COORDINATE GEOMETRY Verify that XYZ is a right triangle.

  9. Pythagorean triple • A Pythagorean triple is three whole numbers that satisfy the Pythagorean theorem. • 3,4,5 • 5,12,13 • 7,24,25

  10. Work it • Determine whether each set of measures can be the sides of a right triangle. Then state whether they form a Pythagorean triple. • 10, 15, 18 • 24, 45, 51

More Related