0.3 repeating is greater.
Given:
The figure of a right angle triangle.
A line segment intersect the two sides and parallel to third side of the triangle
To find:
The value of x.
Solution:
According to basic proportionality theorem, if a line segment intersect the two sides and parallel to third side of the triangle, then it divides the two sides proportionally.
Using basic proportionality theorem, we get
![\dfrac{8}{20-8}=\dfrac{6}{x}](https://tex.z-dn.net/?f=%5Cdfrac%7B8%7D%7B20-8%7D%3D%5Cdfrac%7B6%7D%7Bx%7D)
![\dfrac{8}{12}=\dfrac{6}{x}](https://tex.z-dn.net/?f=%5Cdfrac%7B8%7D%7B12%7D%3D%5Cdfrac%7B6%7D%7Bx%7D)
![\dfrac{2}{3}=\dfrac{6}{x}](https://tex.z-dn.net/?f=%5Cdfrac%7B2%7D%7B3%7D%3D%5Cdfrac%7B6%7D%7Bx%7D)
On cross multiplication, we get
![2\times x=6\times 3](https://tex.z-dn.net/?f=2%5Ctimes%20x%3D6%5Ctimes%203)
![2x=18](https://tex.z-dn.net/?f=2x%3D18)
![x=\dfrac{18}{2}](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B18%7D%7B2%7D)
![x=9](https://tex.z-dn.net/?f=x%3D9)
Therefore, the value of x is 9.
That'd be 32 with no remainder.
You know that you have the Opposite side and the Adjacent side. therefore you would use Tangent (T= O/A)
because you are finding the angle you would go Tan^-1(12÷20) =31°
it is 12÷20 because O/A and the 12 is the opposite side therefore It would be O and 20 is the adjacent side therefore equaling 20 so O/A = 12/20
Your answer is 31°