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Statement (1): The distance between B and C = 5 m. Statement (2): BC = 3sqrt3 m.

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Question

Statement (1): The distance between B and C = 5 m.

Statement (2): BC = `3sqrt3` m.

Options

  • Both the statements are true.

  • Both the statements are false.

  • Statement 1 is true, and statement 2 is false.

  • Statement 1 is false, and statement 2 is true.

MCQ
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Solution

Statement 1 is false, and statement 2 is true.

Explanation:

BP = `3/"tan60" = 3sqrt3 = sqrt3`;

PC = `2/"tan30" = 2sqrt3`.

Hence, BC = `sqrt3 + 2sqrt3 = 3sqrt3` m, so statement (2) is correct.

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Chapter 22: Solution of Right Triangles [Simple 2-D Problems Involving One Right-angled Triangle] - TEST YOURSELF [Page 342]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 22 Solution of Right Triangles [Simple 2-D Problems Involving One Right-angled Triangle]
TEST YOURSELF | Q 1. (f) | Page 342
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