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In ΔABC, ∠B = 90°. If AB = 12units and BC = 5units, find: tan A - Mathematics

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प्रश्न

In ΔABC, ∠B = 90°. If AB = 12units and BC = 5units, find: tan A

योग

उत्तर


In ΔABC,
AC2 = AB2 + BC2
⇒ AC = `sqrt("AB"^2 + "BC"^2)`
⇒ AC = `sqrt(12^2 + 5^2)`
= `sqrt(144 + 25)`
= 13
AB = 12units
BC = 5units
AC = 13units
tan A

= `"Perpendicular"/"Base"`

= `"BC"/"AB"`

= `(5)/(12)`.

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अध्याय 26: Trigonometrical Ratios - Exercise 26.1

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फ्रैंक Mathematics [English] Class 9 ICSE
अध्याय 26 Trigonometrical Ratios
Exercise 26.1 | Q 3.2
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