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If Two Sides of a Triangle Are Unequal, Then the Angle Opposite to the Greater Side Is Greater Than Angle Opposite to the Smaller Side

State the pro...

Question

State the property by which $Δ A D B ≅ Δ A D C$ in the following figure.,

SAS property

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SSS property

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RHS property

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ASA property

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Solution

The correct option is D SAS property
From figure, we have
$A B = A C$ ....Given
$∠ B A D = ∠ C A D$
$A D = A D$ ....Common sides
$∴$ By SAS property, $Δ A D B ≅ Δ A D C$ .

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Δ A B C

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