Question

What is the perimeter of triangle ABC ? 11 units 14 units 16 units 20 units Coordinate graph showing triangle A B C. Triangle A B C has vertex A at negative 1 comma 1, vertex B at 2 comma 5, and vertex C at 5 comma 1.

Answer 1

The answer is 16 untis

Explanation:

Answer 2

The perimeter is equal to
`16\ units`

Explanation:

we have that

`A(-1,1),B(2,5),C(5,1)`

The perimeter of triangle ABC is equal to

`P=AB+BC+AC`

the formula to calculate the distance between two points is equal to

`d=\sqrt{(y2-y1)^(2)+(x2-x1)^(2)}`

step 1

Find the distance AB

`A(-1,1),B(2,5)`

`AB=\sqrt{(5-1)^(2)+(2+1)^(2)}`

`AB=\sqrt{(4)^(2)+(3)^(2)}`

`AB=√(25)`

`AB=5\ units`

step 2

Find the distance BC

`B(2,5),C(5,1)`

`BC=\sqrt{(1-5)^(2)+(5-2)^(2)}`

`BC=\sqrt{(-4)^(2)+(3)^(2)}`

`BC=√(25)`

`BC=5\ units`

step 3

Find the distance AC

`A(-1,1),C(5,1)`

`AC=\sqrt{(1-1)^(2)+(5+1)^(2)}`

`AC=\sqrt{(0)^(2)+(6)^(2)}`

`AC=√(36)`

`AC=6\ units`

step 4

Find the perimeter

`P=5+5+6=16\ units`