Answer: 432
Step-by-step explanation:
The formula for the area of a triangle:
[tex]A=[/tex] [tex]\frac{H*B}{2}[/tex]
Substitute area and base:
[tex]1296 = \frac{H*6}{2}[/tex]
Multiply by the denominator to eliminate the fraction:
[tex]2*1296 = \frac{H*6}{2} *2\\[/tex]
[tex]2592=H*6[/tex]
Inverse operations to isolate the variable:
[tex]\frac{2592}{6} =H[/tex]
[tex]H = 432[/tex]
Height is 432
