Lesson 5 Menu

Can the measure of 5, 7, and 8 be the lengths of the sides of a triangle?Can the measures 4.2, 4.2, and 8.4 be the lengths of the sides of a triangle?Can the measures 3, 6, and 10 be the lengths of the sides of a triangle?Find the range for the measure of the third side of a triangle if two of its sides measure 4 and 13.Find the range for the measure of the third side of a triangle if two of its sides measure 8.3 and 15.6.

Lesson 5 MI/VocabApply the SAS Inequality.Apply the SSS Inequality.

Lesson 5 TH1

Lesson 5 Ex1Use SAS Inequality in a Proof

Lesson 5 Ex1Use SAS Inequality in a Proof

Lesson 5 CYP1

Lesson 5 CYP1

ABCDLesson 5 CYP1A.SSS Inequality TheoremB.SAS Inequality TheoremC.SubstitutionD.none of the above

Lesson 5 TH2

Lesson 5 Ex2Prove Triangle Relationships

Lesson 5 Ex2Prove Triangle Relationships

Lesson 5 CYP2

Lesson 5 CYP2

Lesson 5 CYP2ABCDA.SSS Inequality TheoremB.SAS Inequality TheoremC.SubstitutionD.none of the above

Lesson 5 Ex3Relationships Between Two TrianglesA. Write an inequality relating mLDM to mMDN using the information in the figure.

Lesson 5 Ex3Relationships Between Two TrianglesAnswer: mLDM > mMDN

Lesson 5 Ex3Relationships Between Two TrianglesB. Write an inequality finding the range of values containing a using the information in the figure.

Lesson 5 Ex3Relationships Between Two TrianglesSSS InequalitySubstitutionSubtract 15 from each side.Divide each side by 9.Also, recall that the measure of any angle is always greater than 0.Subtract 15 from each side.Divide each side by 9.

Lesson 5 Ex3Relationships Between Two Triangles

ABCDLesson 5 CYP3A.mWYX < mZYW B.mWYX = mZYWC.mWYX > mZYWD.cannot be determinedA. Compare mWYX and mZYW and write an inequality statement.

ABCDLesson 5 CYP3B. Find the range of values containing n and write an inequality statement.

Lesson 5 Ex4HEALTH Doctors use a straight-leg-raising test to determine the amount of pain felt in a persons back. The patient lies flat on the examining table, and the doctor raises each leg until the patient experiences pain in the back area. Nitan can tolerate the doctor raising his right leg 35 and his left leg 65 from the table. Which foot can Nitan raise higher above the table? Assume both of Nitans legs have the same measurement, the SAS Inequality tells us that the height of the left foot opposite the 65 angle is higher than the height of his right foot opposite the 35 angle. This means that his left foot is raised higher.Answer: his left footUse Triangle Inequalities

ABCLesson 5 CYP4A.her right legB.her left legC.neitherHEALTH Doctors use a straight-leg-raising test to determine the amount of pain felt in a persons back. The patient lies flat on the examining table, and the doctor raises each leg until the patient experiences pain in the back area. Megan can lift her right foot 18 inches from the table and her left foot 13 inches from the table. Which leg makes the greater angle with the table?

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