The area of the triangle below is 3/4 square feet. What is the length of the base? Express your answer as a fraction in simplest form.

We need to find the base of the triangle in its simplest form

The base of the triangle in it's simplest form is 5/4 ft

Area of a triangle

Area of the triangle = 3/4 square feet

Height of the triangle = 6/5 ft

let

b = base of the triangle

Area of a triangle

3/4 = 1/2 × b × 6/5

3/4 = 6/10 × b

divide both sides by 6/10

b = 3/4 ÷ 6/10

= 3/4 × 10/6

= 30/24

b = 5/4 ft

base of the triangle = 5/4 ft

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base =  5   ft.

             4

Step-by-step explanation:

area of a triangle = 1/2 * base * height

where area = 3/4 ft²

        height = 6/5 ft.

plugin values into the formula:

3 = 1 x base  x 6  

4      2                  5

base = 3 x 2 x 5

             4 x 6

base = 30 / 6

            24  / 6

base = 5

            4

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step-by-step explanation: