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Standard IX

Mathematics

Triangle Inequality

If E and F ar...

Question

If E and F are the midpoints of equal sides AB and AC of ∆ABC, then

BF = AC

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BF = AF

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BF = CE

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CE = AB

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Solution

The correct option is C BF = CE
AB and AC are equal sides.
AB = AC (Given)
∠A = ∠A (Common angle)
AE = AF (Halves of equal sides)
∆ABF ≅ ∆ACE (By SAS rule)
Hence, BF = CE (CPCT).

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If E and F are the midpoints of equal sides AB and AC of ∆ABC, then

The correct option is C BF = CEAB and AC are equal sides. AB = AC (Given) ∠A = ∠A (Common angle) AE = AF (Halves of equal sides) ∆ABF ≅ ∆ACE (By SAS rule) Hence, BF = CE (CPCT).

The correct option is C BF = CE
AB and AC are equal sides.
AB = AC (Given)
∠A = ∠A (Common angle)
AE = AF (Halves of equal sides)
∆ABF ≅ ∆ACE (By SAS rule)
Hence, BF = CE (CPCT).