CBSE Class 10 Answered
In triangle abc angle b=90 bc+ab=17cm bc-ab=7cm find sin a cos c
Asked by Shaikmustafa | 13 Mar, 2019, 16:15: PM
![](https://images.topperlearning.com/topper/tinymce/imagemanager/files/a5f7aef52ef2be50c2f050c2ef9afbda5c891faaec5e98.96270538mar1302.png)
Let us use the notation side BC = a cm , AB = c cm
Given : c+a = 17 .................(1)
c -a = 7 ...................(2)
By adding both eqn., we get 2 c = 24 or c = 12 cm
By subtracting eqn.(2) from eqn.(1), we get 2 a = 10 or a = 5 cm
Then side AC = b = ![begin mathsize 12px style square root of 12 squared plus 5 squared space end root space equals space 13 space c m end style](https://images.topperlearning.com/topper/tinymce/cache/102be83a6e7e195aeca850d10729f3d5.png)
![begin mathsize 12px style square root of 12 squared plus 5 squared space end root space equals space 13 space c m end style](https://images.topperlearning.com/topper/tinymce/cache/102be83a6e7e195aeca850d10729f3d5.png)
sin(A) cos(C) = (5/13)(5/13) = 25/169
Answered by Thiyagarajan K | 13 Mar, 2019, 20:56: PM
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