The area of the parallelogram can be found using the formula A = base × height:
A = 6 cm × 10 cm
A = 60 cm²
The area of a triangle is given by the formula A = 1/2 × base × height. We know the height is 5 cm and the area is also 60 cm² (since it is equal to the parallelogram). So, we can solve for the base:
60 cm² = 1/2 × base × 5 cm
Dividing both sides by 1/2 × 5 cm gives:
base = 24 cm
Therefore, the base of the triangle is 24 centimeters.