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Volgvan
4 years ago
8

Given: DC is a diameter of circle k (O). DC ⊥ AB Prove: AC ≅ BC

Mathematics
1 answer:
aleksley [76]4 years ago
7 0

Answer:

See explanation

Step-by-step explanation:

Connect points A and O and B and O. Consider two right  triangles AOE and BOE. In this triangles,

  • AO=BO as circle's radii;
  • OE is common leg.

By HL theorem, these triangles are congruent, thus, AC=BC.

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