Fill in the blanks. In , AB = AC and AD , then BD = _____. - Vidyadip

Question

Fill in the blanks.
In $\triangle\text{ABC},$ AB = AC and $\text{AD}\bot\text{BC},$ then BD = _____.

✓

Answer

In $\triangle\text{ABC}:\text{AB}=\text{AC},\text{AD}\bot\text{BC}$ Then, $\text{BD}=\underline{\text{DC}}$Solution:
$\text{BD}=\text{DC}$
This is because in an isosceles triangle, the perpendicular dropped from the vertex joining the equal sides, bisects the base.

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