For this case we have that by definition, the area of a triangle is given by:
[tex]A = \frac {1} {2} b * h[/tex]
Where:
b: It's the base
h: It's the height
They tell us as data that:
[tex]A = 24 \ in ^ 2\\b = 8in[/tex]
Substituting the data and clearing the height:
[tex]24 = \frac {1} {2} 8 * h\\24 = 4h\\h = \frac {24} {4}\\h = 6[/tex]
So, the height of the triangle is 6in
Answer:
[tex]h = 6in[/tex]
