Given: AABC is a right triangle and CD LAB.
Prove: AC²+ BC² = AB²
Proof:
Statements
1. ZACB
2. ZCAB ZDAC
ZABC ZCBD
ZADC = ZCDB
3. AABC-AACD
AABC – ACBD
N
4. AC = AD and BC = DB
AB
AB
BC
O
B
Reasons
Angles with the same measure are congruent
Reflexive property
AA similarity criteria
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