Answer:
The area of triangle is 28 ft².
Step-by-step explanation:
Here's the required formula to find the area of triangle :
[tex]\star{\underline{\boxed{\sf{Area_{(\triangle)}= \dfrac{1}{2}bh}}}}[/tex]
- [tex]\purple\star[/tex] △ = Triangle
- [tex]\purple\star[/tex] b = base area
- [tex]\purple\star[/tex] h = height
Substituting all the given values in the formula to find the area of triangle :
[tex]{\implies{\sf{Area_{(\triangle)}= \dfrac{1}{2}bh}}}[/tex]
[tex]{\implies{\sf{Area_{(\triangle)}= \dfrac{1}{2} \times b \times h}}}[/tex]
[tex]{\implies{\sf{Area_{(\triangle)}= \dfrac{1}{2} \times 7 \times 8}}}[/tex]
[tex]{\implies{\sf{Area_{(\triangle)}= \dfrac{1}{\cancel{2}} \times 7 \times \cancel{8}}}}[/tex]
[tex]{\implies{\sf{Area_{(\triangle)}= 1 \times 7 \times 4}}}[/tex]
[tex]{\implies{\sf{Area_{(\triangle)}=7 \times 4}}}[/tex]
[tex]{\implies{\sf{\underline{\underline{Area_{(\triangle)}=28 \: {ft}^{2}}}}}}[/tex]
Hence, the area of triangle is 28 ft².
[tex]\rule{300}{2.5}[/tex]
