Find the values of x, y, z in the parallelogram
1 answer:
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Answer:
The value of a = 14
Step-by-step explanation:
Given
(x₁, y₁) = (2, 4)
(x₂, y₂) = (6, a)
(x₃, y₃) = (-1, 1)
A = 9 sq.units
Area of a triangle with vertices (x₁, y₁), (x₂, y₂), and (x₃, y₃) is:
substituting the values (x₁, y₁) = (2, 4), (x₂, y₂) = (6, a), (x₃, y₃) = (-1, 1), A = 9 in th formula
Multiply both sides by 2
simplify
As the area is always positive.
so
Add 18 to both sides
simplify
Divide both sides by 3
Thus, the value of a = 14