Answer: the height is 5 centimeters
The base is 30 centimeters
Explanation:
The area of a triangle is 75 square centimeters. The formula bfor the area of a triangle is expressed as
Area of triangle = b/2 × h
Where h = height
b = base
If the base is 6 times as long as the height, it means that
b = 6h
Substituting b = 6h into the equation for the area of the triangle, it becomes
Area of triangle = 6h × h/2 = 6h^2/2
Since the area of the triangle is 75, then,
75 = 6h^2/2
Cross multiplying
6h^2 = 2 × 75 = 150
h^2 = 150/6 = 25
h = √25 = 5
b = 6h = 6× 5 = 30