5.2 HW ANSWERS Pg. 338 #5-10, #16-19 5. YJ = 4.5 6. SJ = 6 7. 13.5 8. 9 9. 6 10. ZJ = 12 16. Altitude 17. Median 18. perp. Bisector, altitude, median 19. median

5-3 Inequalities in One Triangle Ms. Andrejko

Real World

Vocabulary Inequality- For any real numbers a and b, a>b if and only if there is a positive number c such that a=b+c

Properties of Inequalities Comparison Property: a<b, a=b, or a>b Transitive Property: If a< b and b<c, then a<c If a>b and b>c , then a>c Addition Property: If a>b, then a+c > b+c If a<b, then a+c < b+c Subtraction Property: If a>b , then a-c > b-c If a <b, then a-c < b-c

Theorems 5.8- The measure of an exterior angle of a triangle is greater than the measure of either of its corresponding remote interior angles 5.9- If one side of a triangle is longer than the other side, then the angle opposite the longer side has a greater measure than the angle opposite the shorter side 5.10- If one angle of a triangle has a greater measure than another angle, then the side opposite the greater angle is longer than the side opposite the lesser angle

Examples

Practice

Examples & Practice

Extra Credit

Extra Credit