In the given figure, what is the area of the triangle 𝐴𝐵𝐶 (in sq. units)?

We are given a graph in which a triangle is drawn, and we have to find the area of that triangle.

We have the area of the triangle, 𝐴 =  $\frac{1}{2}$ × 𝑏𝑎𝑠𝑒 × ℎ𝑒𝑖𝑔ℎ𝑡

Here, the number of units under the triangle on the 𝑋 − 𝑎𝑥𝑖𝑠 can be considered the base, and the number of units under the triangle on the 𝑌 − 𝑎𝑥𝑖𝑠 can be considered the triangle’s height.

So, base = 5 𝑢𝑛𝑖𝑡𝑠

And height = 3 𝑢𝑛𝑖𝑡𝑠

So, 𝐴 =  $\frac{1}{2}$ × 5 × 3

⇒ 𝐴 = $\frac{15}{2}$

⇒ 𝐴 = 7. 5 𝑠𝑞. 𝑢𝑛𝑖𝑡𝑠

Hence, the correct option is (c) 7. 5.