Question

State by which property the Triangles in the adjoining figure are congruent ​

Answer 1

Answer:

SSS

Step-by-step explanation:

side AB

side AD

side AC

Answer 2

Given,

  BD=CD

<ADB= 90°

To find,

The property of congruency of ΔADB and ΔADC.

Solution,

ΔADB and ΔADC are congruent by SAS congruency rule.

In ΔADB and ΔADC

BD = BC (given)

AD = AD (Common)

<ADB = <ADC (each 90°)

ΔADB≅ΔADC by SAS congruency rule.

Hence, ΔADB and ΔADC are congruent by SAS congruency rule.