In a circle with center P, chord AB is drawn of length 13cm, seg PQ ⊥ chord AB, then

find ℓ(QB)

a) 3cm b)

Question

In a circle with center P, chord AB is drawn of length 13cm, seg PQ ⊥ chord AB, then    find ℓ(QB)  a) 3cm b) 5.5cm c) 4cm d) 6.5cm​

Emery · Answer

Answer:   l(QB)=6.5 cm     Step-by-step explanation:     Given:    P is the centre of the circle. AB is the chord.Length of chord AB is 13 cm. Seg PQ is perpendicular to chord AB.   To   Find   :    l(QB)  Solution: PQ divides chord AB into two parts                              i.e.AQ and QB.                  QB=1/2×13                  l (QB)=6.5 cm                   Therefore,the length of QB is 6.5cm

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In a circle with center P, chord AB is drawn of length 13cm, seg PQ ⊥ chord AB, then find ℓ(QB)a) 3cm b)