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Kamila [148]
3 years ago
12

Given the circle below with secants PQR and TSR, find the length of PQ. round to the nearest tenth if necessary

Mathematics
1 answer:
Inga [223]3 years ago
6 0

Answer:

  PQ ≈ 20.5

Step-by-step explanation:

The product of lengths from R to the intersection points with the circle is the same for each secant:

  RS×RT = RQ×RP

  40(40 +31) = (44)(PQ +44)

  40(71)/44 = PQ +44

  PQ = 2840/44 -44 = 64 6/11 -44 = 20 6/11

  PQ ≈ 20.5

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