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SAS Similarity

Angles opposi...

Question

Angles opposite to the equal sides of a triangle are equal.If true enter 1 else 0.

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Solution

Consider $△ A B C$ , $∠ B = ∠ C$
Construction: Draw a median AD on BC, which meets AB at D. Hence, $B D = D C$
Now, In $△ A B D$ and $△ A C D$
$∠ B = ∠ C$
$A D = A D$ (Common)
$B D = D C$
Thus, $△ A B D ≅ △ A C D$ (SAS rule)
Thus, $∠ B = ∠ C$ (By CPCT)

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