The height of the triangle is 21.35 cm
Explanation:
It is given that the area of the triangle = [tex]1140 cm^2[/tex]
Let h be the height of the triangle.
It is also given that the base is 5 times the height.
Thus, [tex]b=5h[/tex]
Now, substituting these values in the formula,
[tex]A=\frac{1}{2} bh[/tex]
[tex]1140=\frac{1}{2} \times 5h \times h[/tex]
[tex]1140=\frac{5h^2}{2}[/tex]
Multiplying both sides by 2,
[tex]2280=5h^2[/tex]
Dividing both sides by 5,
[tex]456=h^2[/tex]
Taking square root on both sides, we get,
[tex]h=21.35[/tex]
Thus, the height of the triangle is [tex]h=21.35cm[/tex]
