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A circle is inscribed in ΔABC having sides 8 cm, 10 cm and 12 cm as shown in the figure. Then,
 
  • a)
    AD = 7 cm, BE = 5 cm.
  • b)
    AD = 8 cm, BE = 5 cm.
  • c)
    AD = 8 cm, BE = 6 cm.
  • d)
    AD = 5 cm, BE = 7 cm.
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A circle is inscribed inΔABC having sides 8 cm, 10 cm and 12 cm ...
Let AD = x and BE = y
∴ BD = 12 -  x ⇒  BE = 12 - x [BD = BE = Tangents to a circle from an external point]
⇒ y = 12 - x ⇒ x+y = 12.......(i)
Also, AF = x and CF = 10 - x and CE = 8 - y
Also, AF = x and CF = 10 — x and CE = 8 -  y
∴ 10 - x = 8 - yx - y = 2  (ii)
On solving eq. (i) and (ii), we get x = 7 and y = 5
⇒ AD = 7 cm and BE = 5cm 
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Most Upvoted Answer
A circle is inscribed inΔABC having sides 8 cm, 10 cm and 12 cm ...
Let AD = x and BE = y
∴ BD = 12 -  x ⇒  BE = 12 - x [BD = BE = Tangents to a circle from an external point]
⇒ y = 12 - x ⇒ x+y = 12.......(i)
Also, AF = x and CF = 10 - x and CE = 8 - y
Also, AF = x and CF = 10 — x and CE = 8 -  y
∴ 10 - x = 8 - yx - y = 2  (ii)
On solving eq. (i) and (ii), we get x = 7 and y = 5
⇒ AD = 7 cm and BE = 5cm 
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A circle is inscribed inΔABC having sides 8 cm, 10 cm and 12 cm ...
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A circle is inscribed inΔABC having sides 8 cm, 10 cm and 12 cm as shown in the figure. Then,a)AD = 7 cm, BE = 5 cm.b)AD = 8 cm, BE = 5 cm.c)AD = 8 cm, BE = 6 cm.d)AD = 5 cm, BE = 7 cm.Correct answer is option 'A'. Can you explain this answer? for Class 10 2025 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A circle is inscribed inΔABC having sides 8 cm, 10 cm and 12 cm as shown in the figure. Then,a)AD = 7 cm, BE = 5 cm.b)AD = 8 cm, BE = 5 cm.c)AD = 8 cm, BE = 6 cm.d)AD = 5 cm, BE = 7 cm.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 10 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A circle is inscribed inΔABC having sides 8 cm, 10 cm and 12 cm as shown in the figure. Then,a)AD = 7 cm, BE = 5 cm.b)AD = 8 cm, BE = 5 cm.c)AD = 8 cm, BE = 6 cm.d)AD = 5 cm, BE = 7 cm.Correct answer is option 'A'. Can you explain this answer?.
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