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Triangle inequality

Triangle inequality-example-1
User Yedidia
by
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1 Answer

5 votes

Answer:

DF

EF

DE

Explanation:

First, we need to figure out the third angle.

Angles in a triangle add up to 180, so

180 = 61 + 59 + DEF

DEF = 180 - (61 + 59) = 180 - 120 = 60

In a triangle, the smallest angle is always opposite the shortest side, and the largest angle opposite the longest.

The three angles are 61, 60, and 59.

Since DEF(61) is the largest, DF is the longest.

Next is EDF(60), so EF is the next.

Finally, DFE(59) is the smallest angle, so DE is the shortest.

DF, EF, DE

User Neetu
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4.2k points