Given :
The area of a triangle is found using the formula bh/2, where b is the base and h is the height. What is the area in square inches of a triangle with a height of 6 inches and a base of 8 inches?
Solution :
Given Data :
Height = 6 inches
Base = 8 inches
Formula for Area of traingle is :
![\: \: \: \: \: \: \: \: \: \: \: \: \: \: \star \: \: \: \red{ \underline{ \red{ \overline{ \orange{ \boxed{ \pink{\frak{Area \: of \: Triangle = (1)/(2) × Base × Height }}}}}}}}](https://img.qammunity.org/2022/formulas/mathematics/middle-school/psarb8gq1v95mtkec4sllba7ckor22ahc6.png)
So, putting the values of Base and Height we get
![\leadsto \frak{Area = (1)/(2) × 8 * 6 }](https://img.qammunity.org/2022/formulas/mathematics/middle-school/99pzk2oh2qsmw3vak4ict8z85upxbp3rnu.png)
![\leadsto \frak{Area = (1)/( \cancel2) × \cancel 8 * 6 }](https://img.qammunity.org/2022/formulas/mathematics/middle-school/hnsrmpik69yd2lsbqtxbdwz93c6ls5byp9.png)
![\leadsto \frak{Area = 4 * 6 }](https://img.qammunity.org/2022/formulas/mathematics/middle-school/s6fiucudmo4ssteekc6mlm8dtwgtku5me4.png)
![\leadsto \frak{Area = 24 \: {in}^(2) }](https://img.qammunity.org/2022/formulas/mathematics/middle-school/8f40b3fm6r03iowtgx97ggvj2g4qcjjbpk.png)
Hence, the area of the traingle is 24 inches²