Respuesta :
Answer:
48 in²
Step-by-step explanation:
Hello!
Area of a Triangle: [tex]A = \frac12 b*h[/tex]
Given that the base and height are 8 and 12, we can plug it into the formula to solve for the area.
Find the area
- [tex]A = \frac12 b*h[/tex]
- [tex]A = \frac12 (8*12)[/tex]
- [tex]A = \frac12 (96)[/tex]
- [tex]A = 48[/tex]
The area of the triangle is 48 in².
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Formula for finding area of triangle:}[/tex]
[tex]\mathsf{\dfrac{1}{2}\times \bold{b}ase\times \bold{h}eight}[/tex]
[tex]\huge\textbf{Your equation should look like:}[/tex]
[tex]\mathsf{\dfrac{1}{2}\times 8 \times 12}[/tex]
[tex]\huge\textbf{Making it easier to solve:}[/tex]
[tex]\mathsf{\dfrac{1}{2}\times 8 \times 12}[/tex]
[tex]\mathsf{= \dfrac{1}{2}\times \dfrac{8}{1} \times \dfrac{12}{1}}[/tex]
[tex]\mathsf{= \dfrac{1\times8\times 12}{2\times1\times1}}[/tex]
[tex]\mathsf{= \dfrac{8\times 12}{2\times1}}[/tex]
[tex]\mathsf{= \dfrac{96}{2}}[/tex]
[tex]\mathsf{= \dfrac{96\div 2}{2\div 2}}[/tex]
[tex]\mathsf{= \dfrac{48}{1}}[/tex]
[tex]\mathsf{= 48\div1}[/tex]
[tex]\mathsf{= 48}[/tex]
[tex]\huge\textbf{Therefore, your \boxed{answer} should be:}[/tex]
[tex]\huge\boxed{\frak{48\ in^2}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]