When you arrange the N points in sequence around the polygon (clockwise or counterclockwise), the area is half the magnitude of the sum of the determinants of the points taken pairwise. The N determinants will also include the one involving the last point and the first one.
For example, consider the vertices of a triangle: (1,1), (2,3), (3,-1). Its area can be computed as
(1/2)*|(1*3-1*2) +(2*-1-3*3) +(3*1-(-1)*1)|
= (1/2)*|1 -11 +4| = 3
Answer:
A triangle has angle measures of 45, 110, and 25 degrees would has an orthocenter outside the triangle.
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Answer:
Ayden has reached his goal. He has painted 83%.
Step-by-step explanation:
80% of 500 square meters is 400 square meters. Ayden has painted 415 square meters which is 83%.
Answer:

Step-by-step explanation:

Step 1: Divide the numbers

Step 2: Simplify

Step 3: Simplify

Therefore, the simplified answer is 