SOLUTION: Calculate the area of triangle QRS with altitude ST, given Q (0, 5), R (−5, 0), S (−3, 4), and T (−2, 3).

Algebra ->  Parallelograms -> SOLUTION: Calculate the area of triangle QRS with altitude ST, given Q (0, 5), R (−5, 0), S (−3, 4), and T (−2, 3).      Log On


   

Question 952640: Calculate the area of triangle QRS with altitude ST, given Q (0, 5), R (−5, 0), S (−3, 4), and T (−2, 3).
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Find QR.
b%5E2=%280-5%29%5E2%2B%28-5-0%29%5E2
b%5E2=25%2B25
b%5E2=50
b=5sqrt%282%29
Find ST.
h%5E2=%28-3-%28-2%29%29%5E2%2B%284-3%29%5E2
h%5E2=1%2B1
h%5E2=2
h=sqrt%282%29
So then,
A=%281%2F2%29bh
A=%281%2F2%29%285sqrt%282%29%29%28sqrt%282%29%29
A=5