3 years ago

Which lists the side lengths in order from shortest to longest?

Mathematics

1 answer:

MrMuchimi3 years ago

5 0

Answer:

A. d, e, f

Step-by-step explanation:

Suppose there is a triangle DEF in which,

EF = d, DF = e, DE = f, ∠D = 48°, ∠F = 73°,

∵ Sum of all interior angles of a triangle is 180°,

⇒ ∠D + ∠F + ∠E = 180°,

⇒ 48° + 73° + ∠E = 180°,

⇒ 121° + ∠E = 180°,

⇒∠E = 59°,

Now, in a triangle the angle opposite to the largest side is largest, opposite to medium angle is medium and opposite to the smallest side is smallest,

∵ ∠F > ∠E > ∠D

By the above statement,

f > e > d

Hence, FIRST OPTION is correct.

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