Question

A triangle has vertices P(7,7), Q(-3,-5), and R(5,-3).
a. calculate the lengths of the midsegmaents
b. calculate the lengths of the three side of triangle PQR.
c. compare your answers in a. and b. what do you notice

Answer 1

Some useful formulas to help you:

Let (x1,y1) and (x2,y2) be two given points

- Mid-point
between two given points is ((x1+x2)/2,(y1+y2)/2).

- length, L
between two points: L=sqrt((y2-y1)²+(x2-x1)²)

Answer 2

use distance formula to get distance (length of sides) between two points:
length = sqrt((y2-y1)^2+(x2-x1)^2)
use midpoint formula to get midpoint of one side/length:
midpoint = ((x1+x2)/2,(y1+y2)/2)
*for sure, the answer in (b) is twice the answer in (a) [of course with respect to the same side]

so there,, :)