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In right-angled triangle ABC; ∠B = 90°. Find the magnitude of angle A, if: BC is 3 times of AB. - Mathematics

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Question

In right-angled triangle ABC; ∠B = 90°. Find the magnitude of angle A, if:
BC is `sqrt(3)` times of AB.

Sum

Solution

Consider the figure


Again from the figure

`"BC"/"AB" = (sqrt3x)/x`

tan θ = `sqrt(3)`

tan θ = tan 60°

θ = 60°

Therefore, magnitude of angle A is 60°.

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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 14.2 | Page 304
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