Math, asked by Adityarj8573, 10 months ago

abc is an isosceles triangle with ab=ac =5 cm and bc =6 cm find sin c, tan b, tan c - cot b

Answers

Answered by amitnrw
9

Given : abc is an isosceles triangle with AB=AC =5 cm and BC =6 cm

To Find :  sin c, tan b, tan c - cot b

Solution

AB=AC =5 cm

Draw AD ⊥ BC  which is median too in isosceles triangle

=> BD = DC = BC/2 = 6/2 = 3cm

AB² - BD² = AD²

=>  5² - 3² = AD²

=> AD = 4 cm

sin c  = AD/ AC  = 4/5

tan b,  = AD / BD = 4/3

=> Cotb = 3/4

tan c  = AD/CD   = 4/3

tan c - Cotb  = 4/3  - 3/4   =   (16 - 9)/12  = 7/12

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Answered by Ankita0406
3

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