Question

Find the missing dimension of the triangle. Area =14ft^2, height =6ft, base= ? Find the base.

Answer 1

Answer: b = 14/3 = 4.667 feet

The decimal value is approximate. In reality the 6's go on forever. Round that however you need to.

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Work Shown:

b = unknown base

h = height = 6 ft

A = area = 14 sq ft

A = b*h/2

14 = b*6/2

14 = b*3

14 = 3b

3b = 14

b = 14/3

This approximates to 14/3 = 4.667 ft

Answer 2

The base of the triangle is 4.7 feet.

We can find the missing dimension (base) of the triangle using the formula for the area of a triangle:

Area = (1/2) * base * height

We know the area (14 ft²) and the height (6 ft). We need to solve for the base (b):

14 ft² = (1/2) * b * 6 ft

Multiply both sides by 2:

28 ft² = b * 6 ft

Divide both sides by 6 ft:

b = 28 ft² / 6 ft

Simplify:

b = 4.7 ft

Therefore, the base of the triangle is 4.7 feet.