Answer:
B. 7.5 square units.
Step-by-step explanation:
We have been given an image of a right triangle. We are asked to find area of our given triangle.
We can see that base of our given triangle is 5 units as difference between point S and point T is 5 units.
[tex]2--3=2+3=5[/tex]
The height of our given triangle (RT) is 3 units.
[tex]1--2=1+2=3[/tex]
[tex]\text{Area of triangle}=\frac{1}{2}\times \text{Base}\times \text{Height}[/tex]
[tex]\text{Area of triangle}=\frac{1}{2}\times \text{5 units}\times \text{3 units}[/tex]
[tex]\text{Area of triangle}=\frac{1}{2}\times 15\text{ units}^2[/tex]
[tex]\text{Area of triangle}=7.5\text{ units}^2[/tex]
Therefore, area of our given triangle is 7.5 square units and option B is the correct choice.
