The front of an a-frame cabin in a national park is the shape of a triangle with an area of 564 ft.² if the height is 1 feet less than twice the base find the base and the height of the front of the cabin

Base = 24 ft; height = 47 ft  

Step-by-step explanation:

The formula for the area of a triangle is

A = ½bh

Let x = the base. Then

2x - 1 = the height

We reject the negative value, so x = 24 ft

Base = x = 24 ft

Height = 2x - 1 = 2(24)-1 = 48 - 1 = 47 ft

Check:

564 = ½ × 24 × 47

564 = 564

OK

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