Answer:
The answer is option B
24cm
Step-by-step explanation:
Area of a triangle is
[tex] \frac{1}{2} \times b \times h[/tex]
Where b is the base
h is the height
The base of the triangle is 5 times the height is written as
b = 5h
Area of the triangle is 1440cm²
[tex]1440 = \frac{1}{2} \times 5h \times h[/tex]
[tex]1440 = \frac{1}{2} 5 {h}^{2} [/tex]
[tex]2880 = 5 {h}^{2} [/tex]
Divide both sides by 5
[tex] {h}^{2} = 576[/tex]
Find the square root of both sides
[tex]h = \sqrt{576} [/tex]
h = 24cm
Hope this helps you
