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 [tex]\( A \)[/tex] of a triangle is:
[tex]\[ A = \frac{1}{2} \times \text{base} \times \text{height} \][/tex]
Given values:
- The area [tex]\( A \)[/tex] is 60 cm²
- The height [tex]\( h \)[/tex] is 10 cm
We can rearrange the formula to solve for the base [tex]\( b \)[/tex]:
[tex]\[ \text{base} = \frac{2A}{\text{height}} \][/tex]
Now, plug in the given values:
[tex]\[ \text{base} = \frac{2 \times 60}{10} \][/tex]
First, calculate the numerator:
[tex]\[ 2 \times 60 = 120 \][/tex]
Next, divide by the height:
[tex]\[ \frac{120}{10} = 12 \][/tex]
Therefore, the length of the base of the triangle is:
[tex]\[ 12 \, \text{cm} \][/tex]
