Verified Answer :

To find the length of the base of the triangle given its area and height, we can use the formula for the area of a triangle. The formula for the area \(\( A \)\) of a triangle is:

\(\[ A = \frac{1}{2} \times \text{base} \times \text{height} \]\)

Given values:
- The area \(\( A \)\) is 60 cm²
- The height \(\( h \)\) is 10 cm

We can rearrange the formula to solve for the base \(\( b \)\):

\(\[ \text{base} = \frac{2A}{\text{height}} \]\)

Now, plug in the given values:

\(\[ \text{base} = \frac{2 \times 60}{10} \]\)

First, calculate the numerator:

\(\[ 2 \times 60 = 120 \]\)

Next, divide by the height:

\(\[ \frac{120}{10} = 12 \]\)

Therefore, the length of the base of the triangle is:

\(\[ 12 \, \text{cm} \]\)