Answer: 24 cm
Step-by-step explanation:
The formula for calculate the area of a triangle is:
[tex]A=bh/2[/tex]
Where b is the base and h is the height.
Then if the base of the triangle is 5 times the height:
[tex]b=5h[/tex]
Substitute the above into the formula and solve for the height. Therefore, you obtain that the height is:
[tex]1,440=\frac{5h*h}{2}\\1,440=\frac{5h^{2}}{2}[/tex]
[tex]1,440cm^{2}=5h^{2}/2\\h=\sqrt{\frac{2(1,440)}{5}}\\h=24cm[/tex]
