The area of a triangle is 75 square centimeters. if the base is 6 times as long as the height, calculate each measure.

the height is 5 centimeters

The base is 30 centimeters

Step-by-step 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