Question

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Answer 1

Step-by-step explanation:

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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

$\Rightarrow85+154+x </p><p>$

$\Rightarrow239+x$

Since we are given that Perimeter of triangle = 324M;

$So, \Rightarrow 324 = 239 +x;</p><p>$

$\Rightarrow324 - 239 = x; \\ </p><p> </p><p> \Rightarrow8 5 = x \\ </p><p>$

Now we will use heron's formula to find the area of triangle

$\rightarrow \: a = 85m \\ </p><p> \rightarrow \: b = 154m; \\ </p><p> \rightarrow \: c = 85m; \\ </p><p> </p><p>Area = \sqrt{(s(s - a) \times (s - b) \times (s - c))} ; \\ \\ s \rightarrow\frac{ (a + b + c)}{2}$

Substitute the values:

$\rightarrow \: s = \frac{(85 + 154 + 85)}{2} \\ \\ \\ \\ </p><p></p><p></p><p>\Rightarrow s = 162; \\ \\ \\ \\ </p><p> </p><p>\Rightarrow \: Area =; \sqrt{162(162-85)(162-154)(162-85)} ;</p><p>$

${\boxed{ \green {\Rightarrow \: Area = 2772}}}$

So, Area of triangle is 2772

Now rto find the length of the perpendicular from the opposite vertex on the site measuring 154 m

$Area = \frac{1}{2} \times B a s e \times H e i g h t;$

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