The altitude corresponding to the other pair of sides in the parallelogram is 9 cm.
To find the altitude corresponding to the other pair of sides in the parallelogram, we can use the formula for the area of a parallelogram. The area of a parallelogram is given by the formula:
![[ \text{Area} = \text{base} * \text{height} ]](https://img.qammunity.org/2024/formulas/mathematics/high-school/9ydtdyd7yvmk0tglae1dzmt5k85fydntus.png)
In this case, the base of the parallelogram is 12 cm and the corresponding altitude is 6 cm. Therefore, we can use the given area to find the altitude corresponding to the other pair of sides.
The area of the parallelogram is:
![[ \text{Area} = 12 * 6 = 72 , \text{cm}^2 ]](https://img.qammunity.org/2024/formulas/mathematics/high-school/yuwphcicxj0d6tx8rp7nk0g4yqiy9lqckr.png)
Now, to find the altitude corresponding to the other pair of sides, we can use the formula for the area of a parallelogram:
![[ \text{Area} = \text{base} * \text{height} ]](https://img.qammunity.org/2024/formulas/mathematics/high-school/9ydtdyd7yvmk0tglae1dzmt5k85fydntus.png)
Solving for the height, we have:
![[ 72 = 8 * \text{height} ]](https://img.qammunity.org/2024/formulas/mathematics/high-school/4yqpb7xw0hqv6yvytmrye6a2imsl294d27.png)
Dividing both sides by 8, we get:
![[ \text{height} = 9 , \text{cm} ]](https://img.qammunity.org/2024/formulas/mathematics/high-school/51xjp85xlyslsbkrlt6u37zivjzvndj08y.png)
Therefore, the altitude corresponding to the other pair of sides in the parallelogram is 9 cm.
Complete question:
Two adjacent sides of a parallelogram are 12 cm and 8 cm . If the length of the altitude corresponding to the side 12cm is 6cm find the altitude corresponding to the other pair of sides