Question

11. A farmer wants to plough his square field of side 150cm. How much area will he have to plough?




do it with the solution​

Answer 1

Answer:

\sf\color{green} Your\: answerYouranswer

Triangle ABC, where A is a vertex, B is a mid-point of a side, and CC the center of the octahedron, has a right angle at C and sides CB

\begin{gathered} = > \frac12CB \\ \end{gathered}

=>

2

1

CB

and

\begin{gathered}AB=\frac{\sqrt3}2 \\ \end{gathered}

AB=

2

3

Point of contact between the sphere and the octahedron, D is in the center of the face, therefore the median AB is divided in the ration of 2:1 making

\begin{gathered}DB= \frac{1}{3} \\ \\ AB=\frac1{2\sqrt3} \\ \\\end{gathered}

DB=

3

1

AB=

2

3

1

Triangle CBD has a right angle at D, so

\begin{gathered}CD=\sqrt{CB^2-DB^2} \\ \\ =\sqrt{\frac14-\frac1{12}} \\ \\ =\boxed{\frac1{\sqrt6}}\\ \end{gathered}

CD=

CB

2

−DB

2

=

4

1

−

12

1

=

6

1

So your final answer is

1/√6.