Question

What is the perimeter of the triangle (4,1) (2,5) (1,-1)

Answer 1

the perimeter of the triangle=14.38

The coordinates of the triangle (4,1),(2,5),(1,-1);

In geometry, the perimeter of a shape is defined as the total length of its boundary.

The perimeter of the triangle is the sum of all the sides of the triangle =a+b+c (assuming a,b, and c are the sides of the triangle)

By using the distances formula find the length of the sides of the triangle:√[(x₂ - x₁)² + (y₂ - y₁)²],

where (x₁,y₁),(x₂,y₂) are the coordinates ,

a=√[(4 - 2)² + (1- 5)²] = $\sqrt 20$=4.7

b=√[(2 -1)² + (5 -(-1))²]=$\sqrt37$=6.08

c=√[(1 -4)² + ((-1)-1)²]=$\sqrt13$=3.60

the perimeter of the triangle=a+b+c=4.7+6.08+3.60=14.38

hence ,perimeter of the triangle=14.38

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