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In the Given Figure, Ab and Ec Are Parallel to Each Other. Sides Ad and Bc Are 2 Cm Each and Are Perpendicular to Ab.Given that ∠Aed = 60° and ∠Acd = 45°. Calculate: Ae - Mathematics

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Question

In the given figure, AB and EC are parallel to each other. Sides AD and BC are 2 cm each and are perpendicular to AB.

Given that ∠ AED = 60° and ∠ ACD = 45°. Calculate: AE.

Sum

Solution

From the right triangle ADE we have

sin 60° = `"AD"/"AE"`

`sqrt(3)/(2) = (2)/"AE"`

AE = `(4)/sqrt(3)`.

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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 304]

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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 11.3 | Page 304
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