draw the graph for x-y=6
Answers
length of seg AB is 6√2 unit
area of ΔAOB is 18 sq. unit
Step-by-step explanation:
The line x+y=6 intersects x-axis at (a,0). Substituting this in the equation we have a=6.
Similarly, The line x+y=6 intersects x-axis at (0,b). Substituting this in the equation we have b=6
∴ The line intersects x and y axes at A(6,0) and B(0,6).
The length of the line joining points (x₁,y₁) and (x₂,y₂) is given by the distance formula,
So, the length of AB =
Area of triangle = (1/2) * Base * Height
ΔAOB is right angled with OA as base and OB as height.
The lengths of OA and OB are 6 units each.
∴Area of ΔAOB = (1/2) * 6 *6 = 18 sq. units
Hence,
length of seg AB is 6√2 unit and
area of ΔAOB is 18 sq. unit
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