5-4 and 5-5 The Triangle Inequality Thm. and Inequalities of 2 Triangles

5-4 and 5-5 The Triangle Inequality Thm. and Inequalities of 2 Triangles

Info iconThis preview shows pages 1–10. Sign up to view the full content.

View Full Document Right Arrow Icon
The Triangle Inequality Thm. The Triangle Inequality Thm. Inequalities Involving 2 Triangles Inequalities Involving 2 Triangles Section 5-4 and 5-5
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Triangle Inequality Thm. Triangle Inequality Thm. The sum of the lengths of any two sides of a triangle is greater than the length of the 3 rd side. A B C 6 7 10 AB + BC > AC
Background image of page 2
Theorem 5-12 Theorem 5-12 The perpendicular segment from a point to a line is the shortest segment from the point to the line. . A B X Y
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Corollary 5-1 Corollary 5-1 The perpendicular segment from a point to a plane is the shortest segment from the point to the plane. .
Background image of page 4
SAS Inequality (Hinge Thm.) SAS Inequality (Hinge Thm.) If 2 sides of one triangle are congruent to 2 sides of another triangle, and the included angle in
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 6
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 8
Background image of page 9

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 10
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: one triangle is greater than the included angle in the other, then the 3 rd side of the first triangle is longer than the 3 rd side in the 2 nd triangle. 90 100 A B C D E F DF > AC SSS Inequality SSS Inequality If 2 sides of one triangle are congruent to 2 sides of another triangle and the 3 rd side in one triangle is longer than the third side in the other, then the angle between the pair of congruent sides in the first triangle is greater than the corresponding angle in the 2 nd triangle. 10 12 A B C D E F Angle E > Angle B Joke Time Joke Time What would you say if someone took your playing cards? dec-a-gon What kind of insect is good at math? an account-ant...
View Full Document

This note was uploaded on 12/01/2011 for the course MATH 105 taught by Professor Towns during the Fall '10 term at BYU.

Page1 / 10

5-4 and 5-5 The Triangle Inequality Thm. and Inequalities of 2 Triangles

This preview shows document pages 1 - 10. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online