The area of a triangle is calculated using the formula 1/2 x base x height. The base is 28 cm, and the height is 3/7 of the base which calculates to 12 cm. The area is thus 168 square centimeters.
To calculate the area of a triangle with a given base and height, you use the formula area = 1/2 × base × height. In this case, the base is 28 cm. To find the height, we use the ratio provided which is 3/7 cm of the base. Since the base is 28 cm, we calculate the height by multiplying the base by 3/7: height = (3/7) × 28 cm.
Now, we find the height by doing the calculation: height = (3/7) × 28 cm = 12 cm. With the base and height known, the area can be calculated: area = (1/2) × 28 cm × 12 cm.
So, the final step is to multiply these together and divide by two to find the area: area = (1/2) × 28 cm × 12 cm = 168 cm². Therefore, the area of the triangle is 168 square centimeters.