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Mila [183]
4 years ago
8

Circle Q has radius QR of length 55 cm. Point P is 73 cm. from Q, and PR is a tangent segment. How long is PR?

Mathematics
1 answer:
castortr0y [4]4 years ago
6 0
A tangent line is perpendicular to the radius to the point of tangency. Hence QR ⊥ PR. The Pythagorean theorem tells you
  (QR)² + (PR)² = (PQ)²
  (55 cm)² + (PR)² = (73 cm)²
  (PR)² = 2304 cm²
  (PR) = √(2304 cm²) = 48 cm

The length of PR is
  b. 48 cm
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