Question

Given: AB=AC m∠1=m∠2 AC=15, DC=5 Find: BD, AB

Answer 1

Answer:

AB = 15

BD = 5

Step-by-step explanation:

Statement__________________|          Reason______________

1) m<1 = m<2, AB = AC                    |   Given

2) AD = AD                                      | Reflexive property

3) ΔABD = ΔADC                           | Side - angle - side

4) AB = AC =  15                               | Corresponding part of congruent triangles     .                                                     |  are congruent

5) BD = DC = 5                              | Corresponding parts of congruent triangles   .                                                    |    are congruent

Answer 2

Answer:

• BD = 5, AB = 15

Step-by-step explanation:

AB = AC and AC = 15 (both given)

• ⇒ AB = 15

AB≅AC, ∠1≅∠2, AD≅AD (first two given and the last one is the common side)

• ⇒ ΔABD ≅ ΔACD by SAS

BD≅DC as corresponding sides

BD = DC and DC = 15

• ⇒ BD = 5