Answer: [tex]84\ mm^2[/tex]
Step-by-step explanation:
Given
The long side of a triangle is 27 mm
The length of the base is 14 mm
height of the triangle is 12 mm
The area of a triangle is given by
[tex]\Rightarrow \dfrac{1}{2}\times \text{base}\times \text{height}[/tex]
Insert the values
[tex]\Rightarrow \dfrac{1}{2}\times 14\times 12\\\\\Rightarrow 84\ mm^2[/tex]
Thus, the area of the triangle is [tex]84\ mm^2[/tex]