Question

A triangular banner for the basketball championship hangs in the gym. It has an area of 48 square feet. What is the length of the base and height (in ft), if the base is two-thirds of the height?

Answer 1

From the area of a triangle, the height of the triangle is 12ft

Area of Triangle

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, which is given by

A = 1/2 b * h

• A = Area of triangle
• b = base
• h = height

In the given question, the base is two-thirds of the height.

b = 2/3h

Let's substitute the values into the formula

A = 1/2 * 2/3h * h

A = 2/6 * h²

A = 1/3h²

48 = 1/3h²

h² = 48 * 3

h = √144

h = 12ft

Learn more on area of a triangle here;

brainly.com/question/23945265

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