7-3: inequalities within an triangle. 7-3: inequalities within a triangle theorem 7-6: if the...

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7-3: Inequalities Within an Triangle

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Page 1: 7-3: Inequalities Within an Triangle. 7-3: Inequalities Within a Triangle Theorem 7-6: If the measures of three sides of a triangle are unequal, then

7-3: Inequalities Within an Triangle

Page 2: 7-3: Inequalities Within an Triangle. 7-3: Inequalities Within a Triangle Theorem 7-6: If the measures of three sides of a triangle are unequal, then

7-3: Inequalities Within a Triangle

Theorem 7-6: If the measures of three sides of a triangle are unequal, then the measures of the angles opposite those sides are unequal in the same order.

Theorem 7-7: If the measures of three angles of a triangle are unequal, then the measures of the sides opposite those angles are unequal in the same order.

What it means: The largest side is opposite the largest angle The smallest side is opposite the smallest angle And vice versa

Page 3: 7-3: Inequalities Within an Triangle. 7-3: Inequalities Within a Triangle Theorem 7-6: If the measures of three sides of a triangle are unequal, then

7-3: Inequalities Within a Triangle

In LMR, list the angles in order from least to greatest measure. What is the order of sides from least

to greatest? MR < LR < LM

What are the angles opposite those sides? L < M < R

YOUR TURN In DST, list the sides in order

from least to greatest measure ST < DT < DS

Page 4: 7-3: Inequalities Within an Triangle. 7-3: Inequalities Within a Triangle Theorem 7-6: If the measures of three sides of a triangle are unequal, then

7-3: Inequalities Within a Triangle

Identify the angle with the greatest measure What is the longest side?

JM What is the angle opposite that side?

L

YOUR TURN Identify the side with the greatest

length PQ

Page 5: 7-3: Inequalities Within an Triangle. 7-3: Inequalities Within a Triangle Theorem 7-6: If the measures of three sides of a triangle are unequal, then

7-3: Inequalities Within a Triangle

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