Calculate the area of triangle wxy with altitude yz, given w (2, -1), x (6, 3), y (7, 0), and z (5, 2). (5 points) 8 square units 9.4 square units 7.7 square units 12 square units

Method 1
yz is an altitude meaning it is parallel to the base with z on wx.

use the distance formula to find the length  of yz. (the height of our  δ)



use the distance formula to find the length of wx. (the baase of our  δ)



now that we know the height and base, we can plug these into the δ  area formula.


these other two are shortcuts you'll learn in 10th grade geometry. feel free to learn them now if you want.
method 2
use the distance formula to find wx, xy, and wy.
use heron's formula to find the area.
step 1: find the semiperimeter. s =  (a+b+c)/2
step 2:

method 3
use this formula, plugging in the coordinates for your tiangle's vertices:

Y = 5x + 9
y= 5 (2) + 9
y = 10 + 9
y = 19

Therefore the value of y is 19.