Question

Please help geometry

Answer 1

Answer:

The answer to your question is 11.4 units

Step-by-step explanation:

Data

A (-3, -1)

B ( 0, 3)

C ( 1, 2)

Perimeter = ?

Formula

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

Process

1.- Find the length between the points

dAB = $\sqrt{0 + 3)^{2} + (3 + 1)^{2}}$

dAB = $\sqrt{3^{2}+ 4^{2}}$

dAB = $\sqrt{9 + 16}$

dAB = $\sqrt{25}$

dAB = 5

dBC= $\sqrt{(1 - 0)^{2} + (2 - 3)^{2}}$

dBC = $\sqrt{1^{2} + (-1)^{2}}$

dBC = $\sqrt{1 + 1}$

dBC = $\sqrt{2}$

dAC = $\sqrt{(1 + 3)^{2} + (2 + 1)^{2}}$

dAC = $\sqrt{4^{2} + 3^{2}}$

dAC = $\sqrt{16 + 9}$

dAC = $\sqrt{25}$

dAC = 5

2.- Perimeter

P = AB + BC + AC

P = 5 + $\sqrt{2}$ + 5

P = 10 + $\sqrt{2}$

P = 10 + 1.42

P = 11.4