Answer:
sorry I don't know
Step-by-step explanation:
We are given that two sides of triangular field are 85 M and 154 m
Perimeter of triangle = 324 M
Let the third side be x
Perimeter of triangle =Sum of all sides
![\Rightarrow85+154+x](https://tex.z-dn.net/?f=%5CRightarrow85%2B154%2Bx%20%3C%2Fp%3E%3Cp%3E)
![\Rightarrow239+x](https://tex.z-dn.net/?f=%5CRightarrow239%2Bx)
Since we are given that Perimeter of triangle = 324M;
![So, \Rightarrow 324 = 239 +x;](https://tex.z-dn.net/?f=So%2C%20%5CRightarrow%20324%20%3D%20239%20%2Bx%3B%3C%2Fp%3E%3Cp%3E%20)
![\Rightarrow324 - 239 = x; \\ \Rightarrow8 5 = x \\](https://tex.z-dn.net/?f=%20%5CRightarrow324%20-%20239%20%3D%20x%3B%20%5C%5C%20%3C%2Fp%3E%3Cp%3E%20%3C%2Fp%3E%3Cp%3E%20%5CRightarrow8%205%20%3D%20x%20%5C%5C%20%3C%2Fp%3E%3Cp%3E%20)
Now we will use heron's formula to find the area of triangle
![\rightarrow \: a = 85m \\ \rightarrow \: b = 154m; \\ \rightarrow \: c = 85m; \\ Area = \sqrt{(s(s - a) \times (s - b) \times (s - c))} ; \\ \\ s \rightarrow\frac{ (a + b + c)}{2}](https://tex.z-dn.net/?f=%20%5Crightarrow%20%5C%3A%20a%20%3D%2085m%20%5C%5C%20%3C%2Fp%3E%3Cp%3E%20%20%5Crightarrow%20%5C%3A%20b%20%3D%20154m%3B%20%5C%5C%20%3C%2Fp%3E%3Cp%3E%20%20%5Crightarrow%20%5C%3A%20c%20%3D%2085m%3B%20%5C%5C%20%3C%2Fp%3E%3Cp%3E%20%3C%2Fp%3E%3Cp%3EArea%20%3D%20%20%20%5Csqrt%7B%28s%28s%20-%20a%29%20%20%5Ctimes%20%20%28s%20-%20b%29%20%20%5Ctimes%20%28s%20-%20c%29%29%7D%20%3B%20%20%5C%5C%20%5C%5C%20%20%20s%20%5Crightarrow%5Cfrac%7B%20%28a%20%2B%20b%20%2B%20c%29%7D%7B2%7D%20)
Substitute the values:
![\rightarrow \: s = \frac{(85 + 154 + 85)}{2} \\ \\ \\ \\ \Rightarrow s = 162; \\ \\ \\ \\ \Rightarrow \: Area =; \sqrt{162(162-85)(162-154)(162-85)} ;](https://tex.z-dn.net/?f=%5Crightarrow%20%5C%3A%20s%20%3D%20%20%5Cfrac%7B%2885%20%2B%20154%20%2B%2085%29%7D%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3E%5CRightarrow%20s%20%3D%20162%3B%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%20%5C%5C%20%3C%2Fp%3E%3Cp%3E%20%3C%2Fp%3E%3Cp%3E%5CRightarrow%20%5C%3A%20Area%20%3D%3B%20%5Csqrt%7B162%28162-85%29%28162-154%29%28162-85%29%7D%20%20%3B%3C%2Fp%3E%3Cp%3E)
![{\boxed{ \green {\Rightarrow \: Area = 2772}}}](https://tex.z-dn.net/?f=%20%7B%5Cboxed%7B%20%5Cgreen%20%7B%5CRightarrow%20%5C%3A%20Area%20%3D%202772%7D%7D%7D)
So, Area of triangle is 2772
Now rto find the length of the perpendicular from the opposite vertex on the site measuring 154 m
![Area = \frac{1}{2} \times B a s e \times H e i g h t;](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%5Ctimes%20%20%20B%20%20a%20%20s%20%20e%20%20%5Ctimes%20%20H%20e%20%20i%20%20g%20h%20%20t%3B)
2772 = 1/2 ×154 ×H e i g h t;
(2772 ×2)/154 = Height;
36 = Height
Hence Area of triangle is 2772 and he length of the perpendicular from the opposite vertex on the site measuring 154 m is 36 m