Question

Given: ABC with mABC = 90°
Prove: AB2 + BC2 = AC2
ABC BDC

ADB BDC

ABC ADB

DBC BAC

Answer 1

Statement Reason
1. Draw . construction
2. Angles with the same measure are congruent.
3. BCA DCB Reflexive Property of Congruence
4. ABC ~ BDC AA criterion for similarity
5. Corresponding sides of similar triangles are proportional.
6. BC2 = AC × DC cross multiplication
7. ABC ADB Angles with the same measure are congruent.
8. BAC DAB Reflexive Property of Congruence
9. ABC ADB AA criterion for similarity
10. Corresponding sides of similar triangles are proportional.
11. AB2 = AC × AD cross multiplication
12. AB2 + BC2 = AC × AD + AC × DC addition
13. AB2 + BC2 = AC(AD + DC) Distributive Property
14. AB2 + BC2 = AC × AC segment addition
14. AB2 + BC2 = AC2 multiplication

Answer 2

o.o

Answer 3

*question flies over my head*

Answer 4

?? xD

Answer 5

brb

Answer 6

k

Answer 7

@sleepyhead314

Answer 8

ill guess