Problem 143 of 7
Prove tangent segment lengths from external point X with tangent lines XA and XB and center C are equal.
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use congruent right triangles.
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Proof must use congruent right triangles or equivalent tangent-length theorem reasoning.
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Your answer is equivalent to the expected form.
Walkthrough
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1. Draw radii to the tangent points.
2. Use radius-tangent perpendicularity to form right triangles.
3. Apply HL congruence and conclude tangent segments are equal.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Claiming equality only because the lines look symmetric.