The area of a triangle is 1440 cm^2. The base of the triangle is 5 times the height. What is the height of the triangle? A. 12 b. 24 c. 46 d. 60

Answer:b

Step-by-step explanation:

Height=h

Base=b

area of = 1440

area of = (b x h) / 2

1440 = (bxh) / 2

1440x2=bxh

2880=bxh

b=5xh

Substitute b=5xh in 2880=bxh

2880=5xhxh

2880=5h^2

Divide both sides by 5

2880/5=5h^2/5

576=h^2

h^2=576

Take the square root of both sides

h=√ (576)

h=24