Question

I need help with this

Answer 1

Answers:

• PQ = 8.2
• QR = 7.1
• RP = 4.2
• perimeter = 19.5

Work Shown

Let's find the distance from P to Q.

`(x_1,y_1) = (0,-5) \text{ and } (x_2, y_2) = (-2,3)\\\\d = √((x_1 - x_2)^2 + (y_1 - y_2)^2)\\\\d = √((0-(-2))^2 + (-5-3)^2)\\\\d = √((0+2)^2 + (-5-3)^2)\\\\d = √((2)^2 + (-8)^2)\\\\d = √(4 + 64)\\\\d = √(68)\\\\d \approx 8.2\\\\`

Segment PQ is approximately 8.2 units long.

Use similar steps for segments QR and RP. I'll skip the steps or scratch work since it's similar to what is shown above.

You should get these approximate segment lengths

QR = 7.1

RP = 4.2

The last step is to add up the sides to get the perimeter.

PQ + QR + RP = 8.2 + 7.1 + 4.2 = 19.5