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In Triangle Abc, Ab = Ac = 15 Cm and Bc = 18 Cm, Find Cos ∠Abc. - Mathematics

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Question

In triangle ABC, AB = AC = 15 cm and BC = 18 cm, find cos ∠ABC.

Sum

Solution

Consider the figure below :

In the isosceles ΔABC, AB = AC = 15cm  and BC =18cm  the perpendicular drawn from angle A to the side BC divides the side BC into two equal parts BD = DC = 9 cm

cos ∠ABC = `"base"/"hypotenuse" = "BD"/"AB" = (9)/(15) = (3)/(5)` 

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Chapter 22: Trigonometrical Ratios [Sine, Consine, Tangent of an Angle and their Reciprocals] - Exercise 22 (B) [Page 286]

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Selina Concise Mathematics [English] Class 9 ICSE
Chapter 22 Trigonometrical Ratios [Sine, Consine, Tangent of an Angle and their Reciprocals]
Exercise 22 (B) | Q 5 | Page 286
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