Question

Draw the graph of x + y =6 which intersects the X-axis and Y-axis at A and B respectively .On same graph paper , draw the graph of 2x - y = 3 which intersects the X-axis and Y-axis at C and D respectively. E is the point of intersection of both the graphs . Find the area of (a) ∆ECB (b) ∆EAD .​

Answer 1

Step-by-step explanation:

Answer:

AB=6\sqrt2units.AB=6

2

units.

Area of triangle AOB is 18 squnits.

Step-by-step explanation:

Given the equation of graph. we have to draw the graph and to find the length of AB with the area of ΔAOB.

Points A and B are (6,0) and (0,6).

Using distance formula,

AB=\sqrt{(0-6)^2+(6-0)^2}\sqrt{72}=6\sqrt2units.AB=

(0−6)

2

+(6−0)

2

72

=6

2

units.

Now, area of ΔAOB

\begin{gathered}=\frac{1}{2}\times base\times height\\\\=\frac{1}{2}\times6\times6\\\\=18\thinspace units^2\end{gathered}

=

2

1

×base×height

=

2

1

×6×6

=18units

2

hence, area of triangle AOB is 18 squnits.

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