Answer: The required area of triangle RST is 9 sq. units.
Step-by-step explanation: We are given to find the area of triangle RST shown in the figure.
We know that the AREA of a triangle with base 'b' units and height 'h' units is given by
![A=\dfrac{1}{2}\times b\times h.](https://tex.z-dn.net/?f=A%3D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%20b%5Ctimes%20h.)
From the figure, we note that in ΔRST,
base, b = RS = 6 units
and
height, h = UT = 3 units.
Therefore, the area of ΔRST, will be
![A-{RST}=\dfrac{1}{2}\times b\times h=\dfrac{1}{2}\times 6\times 3=9~\textup{sq. units}.](https://tex.z-dn.net/?f=A-%7BRST%7D%3D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%20b%5Ctimes%20h%3D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%206%5Ctimes%203%3D9~%5Ctextup%7Bsq.%20units%7D.)
thus, the required area of triangle RST is 9 sq. units.