Proof: Pythagorean Theorem 4
Let's prove the following theorem:
if ∠ABC is a right angle, then (distance AC) ⋅ (distance AC) = ((distance AB) ⋅ (distance AB)) + ((distance BC) ⋅ (distance BC))
Proof:
Given
1 | ∠ABC is a right angle |
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# | Claim | Reason |
---|---|---|
1 | (distance AC) ⋅ (distance AC) = ((distance AB) ⋅ (distance AB)) + ((distance BC) ⋅ (distance BC)) | if ∠ABC is a right angle, then (distance AC) ⋅ (distance AC) = ((distance AB) ⋅ (distance AB)) + ((distance BC) ⋅ (distance BC)) |
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