The formula for finding area of a triangle is:
[tex] \frac{1}{2}bh [/tex]
The base is 8 feet. The area is 48 ft². Put that into the formula:
[tex] \frac{1}{2} b8 = 48 [/tex]
Remember that you have to multiply the base × height by [tex] \frac{1}{2} [/tex], which is the same as dividing by 2. To find the height, you need to multiply the area by 2, instead of dividing.
[tex] Area = 48 sq\ ft^{2} \\ 48 \times 2 = 96 [/tex]
That means the base × height is equal to 96. You already know the height. To find the base, divide the (base × height) by the height. The height is 8.
[tex] 96 \div 8 = 12 [/tex]
That means the base of the triangle is 12 ft
[tex] \frac{1}{2}bh [/tex]
Base = 12
Height = 8
Put that into the formula:
[tex] 12 \cdot 8 \cdot \frac{1}{2} = 96 \cdot \frac{1}{2} = 96 \div 2 = 48 [/tex] ✔
BASE = 12 ft
