Question C$3[10$ marks$]$

Write your answer in the provided file A$3$Q$3.$ py$.$ Fill in your name and student ID in the designated section.

Write a program based on the specifications below:

$1.$ Define a Python Class based on the given simplified UML diagram and then given requirements:

$```$

Triangle

side$1$

side$2$

side$3$

init$\_\_($side$1=0,$ side$2=0,$ side$3=0)$

$\_$str$\_\_()$

isAtriangle$()$

isRightAngleTriangle$()$

area$()$

$```$

a$.$ The constructor accepts three arguments for assigning related fields and define the data fields, properly assigning the input parameters accordingly.

b$.$ The method $\_\_$str$\_\_()$ returns a string representation of the object in the format shown in sample outputs.

c$.$ The method isAtriangle$()$ accepts no argument and returns True if the three input sides can form a triangle; returns False otherwise.

d$.$ The method isRightAngleTriangle$()$ accepts no argument and returns True if the triangle is a right$-$angle triangle; returns False otherwise.

e$.$ The method area $()$ accepts no argument, calculates the area of a triangle, and returns it$.$

$2.$ Write a function isSimilarTriangles $()$ to compare two triangles.

The function accepts two Triangle objects as input parameters and returns True if they are similar triangles; returns False otherwise.

$3.$ Write a function main$()$ which continuously asks user to input $6$ values: $($side$1$a$,$ side$2$a$,$ side$3$a$)$ and $($side$1$b$,$ side$2$b$,$ side$3$b$)$ for the Triangle object T$1$ and T$2$ respectively. Formulate two triangles and continue the process until T$1$ and T$2$ are either similar triangles $\backslash (\backslash$mathbf$\{$O R$\}\backslash )$ either one is a right$-$angle triangle.

a$.$ Exit the program when the triangles are similar triangles, or either one is a right$-$angle triangle. When both criteria are satisfied, display for similar triangles should be prioritized.

b$.$ If no two triangles are formed, display a message asking the user to reinitiate both triangles.

c$.$ If the triangles are neither similar triangles nor none of them is a right$-$angle triangle, display a message asking the user to reinitiate both triangles.

d$.$ You can assume that the user will only input valid numeric values.

$4.$ Call the main$()$ to start to program execution.

Hint: Refer to the general guidelines to determine how to call the main $()$ function.

The program output should adhere to the Sample Program Output provided below: Sample Output $1$:

$```$

$>>$ Enter side$1$a for the first side of a triangle: $1$

$>>$ Enter side$2$a for the second side of a triangle: $2$

$\backslash$gg Enter side$3$a for the third side of a triangle: $5$

The $3$ sides $1,2$ and $5$ cannot form a triangle.

$>>$ Enter side$1$b for the first side of a triangle: $6$

$>>$ Enter side$2$b for the second side of a triangle: $4$

$>>$ Enter side$3$b for the third side of a triangle: $3$

The $3$ sides $6,4$ and $3$ can form a triangle with area $5\mathrm{.}3327.$

The two triangles are neither similar nor none of them being right angle triangle;

please re$-$enter another two triangles.

$============================$

$====$ This is a separator $====$

$============================$

$```$

$>$ Enter side$1$a for the first side of a triangle:

Note: In the last line of the Sample Output $1,$ the program is still waiting for user input.

Sample Output $2$:

$>>$ Enter side$1$a for the first side of a triangle: $5$

$>>$ Enter side$2$a for the second side of a triangle: $3$

$>>$ Enter side$3$a for the third side of a triangle: $4$

The $3$ sides $5,3$ and $4$ can form a triangle with area $6\mathrm{.}0000.$

$>$ Enter side$1$b for the first side of a triangle: $3$

$>>$ Enter side$2$b for the second side of a triangle: $8$

$>>$ Enter side$3$b for the third side of a triangle: $6$

The $3$ sides $3,8$ and $6$ can form a triangle with area $7\mathrm{.}6444.$

At least one of the triangles are right angle triangle. Escape...!

Sample Output $3$:

$```$

$>>$ Enter sidela for the first side of a triangle: $6$

$>>$ Enter side$2$a for the second side of a triangle: $2$

$>>$ Enter side$3$a for the third side of a triangle: $5$

$```$

The $3$ sides $6,2$ and $5$ can form a triangle with area $4\mathrm{.}6837.$

$>$ Enter side$1$b for the first side of a triangle: $1$

$>>$ Enter side$2$b for the second side of a triangle: $2\mathrm{.}5$

$>$ Enter side$3$b for the third side of a triangle: $3$

The $3$ sides $1,2\mathrm{.}5$ and $3$ can form a triangle with area $1\mathrm{.}1709.$

These two triangles are similar triangles. Escape...!

Note: The user inputs are in green.

$-$ END OF PAPER $-$