Verified Answer :

the area of the triangle is its base multiplied by its "altitude", height that is, and divided by 2:
area = baseheight/2
therefore
height = 2
area/base
plug in the data:
height = 2*280/70
height = 8 cm

Answer: 8 cm

Explanation:

Given that Area of a triangle = 280cm^2

Base of the triangle = 70cm


Area of triangle = ½ base height  

(Height is also known as the altitude)

Substituting the given values in the formula stated above  


280 = ½ 70 h

280 2 = 70 h

560 = 70 * h

560 / 70 = h

8 cm = h