What is the area of the triangle formed from (0,-1), (0.4), and (4,-1)?
Accepted Solution
A:
Answer:10 squared units Step-by-step explanation:This triangle is pretty easy since it creates a right triangle. So the base length and height length are pretty easy to identify.The area of a triangle is .5*base*height.The base length after drawing the points is a horizontal so just count it or do 4-0=4.The height length after drawing the points is a vertical so just count it or do 4-(-1)=4+1=5.So the area of the triangle is .5*4*5=.5(20)=10 units squared.Now if you didn't fill like drawing it and you knew how to find the determinant.You just compute .5 times det| 0 -1 1 | | 0 4 1 | | 4 -1 1 |.5[ 0 det| 4 1 | - -1 det| 0 1 | + 1 det | 0 4 | ] | -1 1 | | 4 1 | | 4 -1 |.5[ 0 - -1(0-4) + 1(0-16)].5[ 0 -4 -16].5[-20]-10And if you get a negative just take the absolute value of it giving you 10.