Area of a Triangle
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a month agoContributor-Level 10
First, express area as a function of t. Suppose there is a triangle whose vertices are A (0,0), B (t,0) and C (0, t). Here, we can use the determinant formula for the area of a triangle.
Let us substitute the coordinates in the above equation:
Now, let us calculate area when t = 4 and substitute t = 4 into function:
New answer posted
a month agoContributor-Level 10
Find the area of a triangle with vertices A(?2,?3), B(4,0), and C(1,5).
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New answer posted
a month agoContributor-Level 10
This is a mnemonic method that computes the determinant of 3*3 times. It involves drawing diagonal lines for remembring how to multiply and sum elements of the matrix. Say there is a matrix:
| a b c |
| d e f |
| g h i |
We will first multiply the elements that are connected by three diagonals that run from top-left to bottom right:
a*e*i
b*f*g
c*d*h
Let us now sum these products: (aei)+ (bfg)+ (cdh)
Now, we will multiply the elements connected by three diagonals from top-right to bottom left:
c*e*g
b*d*i
a*f*h
Let us now sum these products:
(ceg)+ (bdi)+ (afh)
After this, let us subtract the sum of negative terms from the sum of positive terms:
Deter
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