Question

What is the perimeter of ALMN? y 6 8 units 5 N-1, 4) L(2,4) 9 units 4 O 6 + 10 units O 8 + 10 units 1 M(-2,1) X -5 -4 -3 -2 -1 -1 1 2 3 4 5 --2 -3 -4​

Answer 1

The perimeter of the triangle is 8 + √10 units

Perimeter of a triangle.

The perimeter of a triangle is the sum of the whole sides of the triangle. Therefore, let's find the side length using distance formula,

d = √(x₂ - x₁)²+ (y₂ - y₁)²

Side MN (-2 ,1)(-1, 4)

• √(-1+2)² + (4 - 1)²
• √1² + 3²
• √10

Side ML (-2, 1)(2, 4)

• √(2 + 2)² + (4 - 1)²
• √16 + 9
• √25
• 5

Side NL (-1, 4)(2, 4)

• √(2 + 1)² + (4 - 4)²
• √9
• 3

Therefore,

perimeter = 3 + √10 + 5

perimeter = 8 + √10 units

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