find the length of the side labelled x in each of this triangle
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![](https://hi-static.z-dn.net/files/da8/d3da8e24d9682875f0f26e2ecfe731cc.jpg)
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If you are in class 11 or above, you'll easily understand it.
As you know, By properties of Triangles, (see the law in the above picture)
The 'k' is a constant.
For 1) a)
![\frac{4}{ \sin(85) } = \frac{b}{ \sin(65) } \\ b = \frac{4 \times \sin(65) }{ \sin(85) } \\ b = 3.639078942 \frac{4}{ \sin(85) } = \frac{b}{ \sin(65) } \\ b = \frac{4 \times \sin(65) }{ \sin(85) } \\ b = 3.639078942](https://tex.z-dn.net/?f=+%5Cfrac%7B4%7D%7B+%5Csin%2885%29+%7D+%3D++%5Cfrac%7Bb%7D%7B+%5Csin%2865%29+%7D+++%5C%5C+b+%3D++%5Cfrac%7B4+%5Ctimes++%5Csin%2865%29+%7D%7B+%5Csin%2885%29+%7D++%5C%5C+b+%3D+3.639078942)
Similarly, you can do the rest of the parts.
As you know, By properties of Triangles, (see the law in the above picture)
The 'k' is a constant.
For 1) a)
Similarly, you can do the rest of the parts.
Attachments:
![](https://hi-static.z-dn.net/files/dc5/bf1cd85d4e4aa53a45711c9b49b7314b.jpg)
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