Question

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 1

Answer:b

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