the perimeter of the Triangle formed by the points( 0, 0 ) ( 1 ,0) and (0 ,1) is
Answers
Given: Coordinates of the three vertices of the given triangle = (0,1), (1,0), and (0,1)
To find : The perimeter of the given triangle.
Solution :
We can simply solve this mathematical problem by using the following mathematical process.
To solve this mathematical problem we need to know more about the perimeter of a triangle.
What is the perimeter of a triangle?
- The perimeter of a triangle is the sum of the length of three sides of that triangle.
Let,
First vertex = A = (0,0)
Second vertex = B = (1,0)
Third vertex = C = (0,1)
Three sides will be = AB,BC,CA
The formula which we will use here is :
- If the co-ordinates of the two endpoints of a straight is = (x₁,y₁) and (x₂,y₂)
- Then, length of a straight line = √[(x₂-x₁)²+(y₂-y₁)²]
So,
Length of AB = √[(0-1)²+(0-0)²] = √1 = 1 unit
Length of BC = √[(1-0)²+(0-1)²] = √2 units
Length of CA = √[(0-0)²+(1-0)²] = √1 = 1 unit
Perimeter of the triangle = Length of AB + Length of BC + Length of CA = (1+√2+1) = (2+√2) units
Hence, the perimeter of the triangle will be (2+√2) units.