Question

. 1. How do we know that the emperor had grown old?​

Answer 1

Answer:

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 >⇒85+154+x</p><p>

\Rightarrow239+x⇒239+x

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

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

\begin{gathered} \Rightarrow324 - 239 = x; \\ < /p > < p > < /p > < p > \Rightarrow8 5 = x \\ < /p > < p > \end{gathered}

⇒324−239=x;

</p><p></p><p>⇒85=x

</p><p>

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

\begin{gathered} \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} \end{gathered}

→a=85m

</p><p>→b=154m;

</p><p>→c=85m;

</p><p></p><p>Area=

(s(s−a)×(s−b)×(s−c))

;

s→

2

(a+b+c)

Substitute the values:

\begin{gathered}\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 > \end{gathered}

→s=

2

(85+154+85)

</p><p></p><p></p><p>⇒s=162;

</p><p></p><p>⇒Area=;

162(162−85)(162−154)(162−85)

;</p><p>

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

⇒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;Area=

2

1

×Base×Height;

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

Answer 2

Answer:

Answer: An emperor in the Far East was growing old. He knew It was time to choose his successor. He had no children, so had given considerable thought to how he might find the right replacement.

Explanation:

Please mark me as brainliest