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Length of AB is equal to ______.

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Question

Length of AB is equal to ______.

Options

  • `20sqrt3  cm`

  • `20/sqrt3  cm`

  • 20 cm

  • none of these

MCQ
Fill in the Blanks
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Solution

Length of AB is equal to `bbunderline(20sqrt3  cm)`.

Explanation:

Angle at D is 30°, so angle ACB = 60°.

In right triangle ACB, tan60 = `"AC"/"CB" = sqrt3`, hence AC = `20sqrt3`.

AB is vertical equal to AC, so AB = `20sqrt3`.

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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. (d) | Page 342
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