In the given figure, if AB = 10 cm, CD = 7 cm, SD = 4 cm and AS = 5 cm, then BC = ?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 8 cm.
| Understanding/Application |
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AB = 10 cm, CD = 7 cm, SD = 4 cm and AS = 5 cm AP and AS are the tangents to the circle from point A. AP = AS = 5 cm DR and SD are the tangents to the circle from point D. DR = SD = 4 cm Now, AB = 10 ⇒ AP + BP = 10 ⇒ 5 + BP = 10 ⇒ BP = 5 cm CD = 7 ⇒ DR + CR = 7 ⇒ 4 + CR = 7 ⇒ CR = 3 |
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BP and BQ are the tangents to the circle from point B. BP = BQ = 5 cm CQ and CR are the tangents to the circle from point C. CQ = CR = 3 cm Hence, BC = BQ + CQ = 5 + 3 = 8 cm |