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In an isosceles triangle ABC, AB = BC = 6 cm and ∠B = 90°. Find the values of cosec C - Mathematics

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प्रश्न

In an isosceles triangle ABC, AB = BC = 6 cm and ∠B = 90°. Find the values of cosec C

योग

उत्तर


ΔABC is an isosceles right-angled triangle.
∴ AC2
= AB2 + BC2
= 62 + 62
= 36 + 36
= 72
⇒ AC = `6sqrt(2)"cm"`
cosec C

= `"AC"/"AB"`

= `(6sqrt(2))/(6)`
= `sqrt(2)`.

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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 11.2
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