Question

raw the graph of x + y = 6 which interest the x-axis and the Y-axis at the ints A and B respectively. Which type of triangle is formed and find the ea of AAOB, where O is the point of origin.​

Answer 1

Answer:

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)272=62units.

Now, area of ΔAOB

\begin{gathered}=\frac{1}{2}\times base\times height\\\\=\frac{1}{2}\times6\times6\\\\=18\thinspace units^2\end{gathered}=21×base×height=21×6×6=18units2

hence, area of triangle AOB is 18 squnits.