A triangular bandana has an area of 34 square inches. The height of the triangle is 8 1/2 inches. Enter and solve an equation to find the length of the base of the triangle. Use b to represent the length of the base.

8 inches

Step-by-step explanation:

Use the formula for area of a triangle:

A = bh/2

"A" for area

"b" for base

"h" for height

What we know:

A = 34in²

h = 8 1/2 in

Substitute the known values into the formula

A = bh/2

(34in²) = b(8 1/2 in)/2

Isolate "b" to solve for the length of the base

(34in²) * 2 = b(8 1/2 in)/2 * 2              Multiply both sides by 2.

(68in²) = b(8 1/2 in)              

(68in²)/(8 1/2 in) = b(8 1/2 in)/(8 1/2 in)      Divide both sides by (8 2/1 in)

(68in²)/(8 1/2 in) = b         Simplify and move variable to left

b = (68in²)/(8 1/2 in)

How to divide a mixed fraction:

           Convert to improper fraction

          Reformat division

          Flip the second fraction

           Combine into numerator

             Length of base

Therefore the base is 8 inches.

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