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Find AD, if: - Mathematics

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Question

Find AD, if:

Sum

Solution

In ΔBCA

∠ABC = ∠BAC = x

∠ACD = ∠BAC + ∠ABC             ...[Exterior angle equal to two int. opp. angle]

60° = x + x

60° = 2x

x = 30°

In ΔADB

sin B = `("AD")/("AB")`

sin 30° = `("AD")/(100)`     

`(1)/(2) = ("AD")/(100)`

AD = 50 m

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Solution of Right Triangles
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Chapter 24: Solution of Right Triangles [Simple 2-D Problems Involving One Right-angled Triangle] - Exercise 24 [Page 303]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 24 Solution of Right Triangles [Simple 2-D Problems Involving One Right-angled Triangle]
Exercise 24 | Q 4.2 | Page 303
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