In the given figure, if PT = 2 AP and AB = 18 cm, find PT.
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Fill in the blanks with the participle form of the verbs given in the brackets. 1. I've always wished I could own a ______ (fly) car. The ______ (howl) dog ruined our night. 2. The 3. Rohan's. ____ (bleed) nose meant that he was in a fight. ______ (break) mirror near the doorstep. (interest) show on the National Geographic Channel.
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Answer:
BT is diameter and PT is tangent. So, ∠PTB = 90°
In ΔPTB,
⇒ PB^2 = PT^2 + BT^2.
⇒ PB^2 = 72 + 24^2.
⇒ PB = 25cm.
Suppose PA = x
And,
⇒ PT^2 = PA × PB.
⇒ 7^2 = x × 25.
⇒ x = 49/25.
⇒ x = 1.96.
⇒ AB = PB – PA.
⇒ AB = 25 – x = 25 – 1.96.
⇒ AB = 23.04 cm.
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