Question

$ABC$ is an isosceles triangle with $AB=AC$ and $AD$ is one of its altitude

• A. State the three pairs of equal parts in $△ADB$ and $△ADC$
• B. Is $△ADB\cong ADC$? Why or why not?
• C. Is $\angle B=\angle C$? Why or why not?
• D. Is $BD=CD$? Why or why not?

Answer 1

The correct option is A State the three pairs of equal parts in $△ADB$ and $△ADC$

Consider the following question.

In triangle $\Delta ABD\&\Delta ACD$

$AB=AC$ (Given)

$\angle ADB=\angle ADC={90}^0$

$AD=AD$ (Common)

$\Delta ABD\cong \Delta ACD$ (By SAS Congruence rule)

$AD=AC$

Hence, this is the required answer.