#4 The proof of converse of Tythagorean Theorem с F 7 b J a B Begin with DABC where we absume 2 Db² = a²+c². With center A and radius Ac, construct a circle. Extend AB in bothe directions E So the diameter meets the circle at D and I Next extend CB to I and draws Cs, AE, and FE. a) Prove I BCD ~ A BFE 5) Use part (a) to conclude FB/BE = CB/B0 and then prove that BE = a c) Grove ABC = AABE d) Prove the converse of Pythagorean

#4 The proof of converse of Tythagorean Theorem с F 7 b J a B Begin with DABC where we absume 2 Db² = a²+c². With center A and radius Ac, construct a circle. Extend AB in bothe directions E So the diameter meets the circle at D and I Next extend CB to I and draws Cs, AE, and FE. a) Prove I BCD ~ A BFE 5) Use part (a) to conclude FB/BE = CB/B0 and then prove that BE = a c) Grove ABC = AABE d) Prove the converse of Pythagorean

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter6: Circles

Section6.3: Line And Segment Relationships In The Circle

Problem 39E: The center of a circle of radius 2 inches is at a distance of 10 inches from the center of a circle...

See similar textbooks

Similar questions

The center of a circle of radius 2 inches is at a distance of 10 inches from the center of a circle of radius length 3 inches. To the nearest tenth of an inch, what is the approximate length of a common internal tangent? Use the hint provided in Exercise 38. HINT: use similar triangles to find OD and DP. Then apply the Pythagorean Theorem twice.
Complete an analytic proof of the following theorem: In a triangle that has sides of lengths a,b, and c, if c2=a2+b2, then the triangle is a right triangle.
Which lines or line segments or rays must be drawn or constructed in a triangle to locate its aincenter? bCircumcenter? corthocenter? dcentroid?
Given: AB is an external tangent to O and Q at points A and B; radii lengths for O and Q are 4 and 9. Find: AB HINT: The line of centers OQ contains point C, the point at which O and Q are tangent.