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7-3: Inequalities Within an Triangle
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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
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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
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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
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7-3: Inequalities Within a Triangle
Assignment Worksheet #7-3