Answer:-
[tex]\pink{\bigstar}[/tex] Area of the triangle is [tex]\large\leadsto\boxed{\tt\purple{48 \: square \: units}}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Knowledge Required:-
✯ In order to find the area of a triangle we must know about 2 parameters i.e, height and base of the traingle.
✯ We need to count the number of grids present inside the triangle or forming the triangle vertically to know about the height of the triangle. Similarly, counting the grids horizontally will give us the base of the triangle.
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Solution:-
Following the above steps we get to know the required parameters.
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Now moving on, there is a formula to find out the area of a triangle.
[tex]\pink{\bigstar}[/tex] [tex]\large\underline{\boxed{\bf\green{Area_{(triangle)} = \dfrac{1}{2} \times b \times h}}}[/tex]
where,
- h = height of the triangle
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
• Substituting in the Formula:-
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf Area_{(triangle)} = \dfrac{1}{2} \times 12 \times 8[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
➪ [tex]\sf Area_{(triangle)} = \dfrac{1}{2} \times 96[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
★ [tex]\bold\red{Area_{(triangle)} = 48 \: square \: units}[/tex]
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Therefore, the Area of the given triangle is 48 square units.
