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AB ⊥ BC, AC = 20 cm, CD = 5 cm, ∠ACB = 60°, AE = ______. - Mathematics

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Question

AB ⊥ BC, AC = 20 cm, CD = 5 cm, ∠ACB = 60°, AE = ______.

Options

  • `10sqrt3` cm

  • `(10sqrt3 + 5)` cm

  • `(10sqrt3 − 5)` cm

  • 15 cm

MCQ
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Solution

AB ⊥ BC, AC = 20 cm, CD = 5 cm, ∠ACB = 60°, AE = `bbunderline((10sqrt3 + 5) cm`.

Explanation:

In triangle △ACB, using ∠ACB = 60° and AC = 20 cm,

get AB = `10sqrt3`cm.

Since DE = CD = 5 cm and AE = AB + DE.

AE = `10sqrt3` + 5 cm.

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Chapter 20: Simple 2-D Problems in Right Triangle - MULTIPLE CHOICE QUESTIONS [Page 245]

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B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 20 Simple 2-D Problems in Right Triangle
MULTIPLE CHOICE QUESTIONS | Q 3. | Page 245
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