What is the area of triangle RST?

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InesWalston InesWalston · Answer 1 · 2018-11-26T11:13:17+01:00

Answer-

[tex]\boxed{\boxed{\text{Area}_{RTS}=9\ unit^2}}[/tex]

Solution-

We know that,

[tex]\text{Area}=\dfrac{1}{2}\times\text{Base}\times \text{Height}[/tex]

From the diagram,

RS is the base and UT is the height of the triangle.

Applying distance formula,

[tex]RS=\sqrt{(3+3)^2+(2-2)^2}=\sqrt{(6)^2}=6[/tex]

[tex]UT=\sqrt{(-1+1)^2+(2+1)^2}=\sqrt{(3)^2}=3[/tex]

Putting the values,

[tex]\text{Area}_{RTS}=\dfrac{1}{2}\times6\times3=9\ unit^2[/tex]

ColinJacobus ColinJacobus · Answer 2 · 2019-04-06T12:44:31+02:00

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

[tex]A=\dfrac{1}{2}\times b\times h.[/tex]

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

[tex]A-{RST}=\dfrac{1}{2}\times b\times h=\dfrac{1}{2}\times 6\times 3=9~\textup{sq. units}.[/tex]

thus, the required area of triangle RST is 9 sq. units.