Answer
Program:
# Enter three points for a triangle
$\mathrm{x} 1, \mathrm{y} 1, \mathrm{x} 2, \mathrm{y} 2, \mathrm{x} 3, \mathrm{y} 3=$ eval(input( "Enter three points for a triangle: "))
# Compute the length of the three sides
side1 $=\left((x 1-x 2)^{*}(x 1-x 2)+(y 1-y 2)^{*}(y 1-y 2)\right)^{* *} 0.5$
$\operatorname{side} 2=\left((x 1-x 3)^{*}(x 1-x 3)+(y 1-y 3)^{*}(y 1-y 3)\right)^{\star *} 0.5$
$\operatorname{side} 3=\left((x 3-x 2)^{*}(x 3-x 2)+(y 3-y 2)^{*}(y 3-y 2)\right)^{* *} 0.5$
#Compute the area using given formula
$s=(\operatorname{side} 1+\operatorname{side} 2+\operatorname{side} 3) / 2$
area $=\left(s^{*}(s-\operatorname{side} 1)^{*}(s-\operatorname{side} 2)^{*}(s-s i d e 3)\right)^{\star *} 0.5$
#Display the area of triangle
print("The area of the triangle is", round(area,1) )
Work Step by Step
Step 1 of 3:
Program Plan:
Create a python file with name $2_{-} 14 \mathrm{PE} . \mathrm{PY}$. In the file,
- Get input from user. It is the 3 points of the triangle. In fact, there will be 6 numbers where a set of numbers will represent a vertex of triangle.
- Compute the length of the three sides with the given points.
- Compute the area using given formula using length of side.
- Display the area of triangle.
Step 2 of 3:
Program:
# Enter three points for a triangle
$\mathrm{x} 1, \mathrm{y} 1, \mathrm{x} 2, \mathrm{y} 2, \mathrm{x} 3, \mathrm{y} 3=$ eval(input( "Enter three points for a triangle: "))
# Compute the length of the three sides
side1 $=\left((x 1-x 2)^{*}(x 1-x 2)+(y 1-y 2)^{*}(y 1-y 2)\right)^{* *} 0.5$
$\operatorname{side} 2=\left((x 1-x 3)^{*}(x 1-x 3)+(y 1-y 3)^{*}(y 1-y 3)\right)^{\star *} 0.5$
$\operatorname{side} 3=\left((x 3-x 2)^{*}(x 3-x 2)+(y 3-y 2)^{*}(y 3-y 2)\right)^{* *} 0.5$
#Compute the area using given formula
$s=(\operatorname{side} 1+\operatorname{side} 2+\operatorname{side} 3) / 2$
area $=\left(s^{*}(s-\operatorname{side} 1)^{*}(s-\operatorname{side} 2)^{*}(s-s i d e 3)\right)^{\star *} 0.5$
#Display the area of triangle
print("The area of the triangle is", round(area,1) )
Step 3 of 3:
Sample Output:
Enter three points for a triangle: $1.5,-3.4,4.6,5,9.5,-3.4$
The area of the triangle is $33.6$
