Final answer:
The measure of the other diagonal in a rhombus with an area of 348cm² and one known diagonal of 24cm can be calculated using the formula for the area of a rhombus (Area = (d1 × d2) / 2). By rearranging the equation and solving, the length of the other diagonal is found to be 29cm. So, the measure of the other diagonal is 29cm.
Step-by-step explanation:
To find the measure of the other diagonal in a rhombus where the area of a rhombus is 348cm² and one diagonal measures 24cm, you can use the formula for the area of a rhombus:
Area = (d1 × d2) / 2
Where d1 and d2 are the lengths of the diagonals. Since you have the area and the length of one diagonal, you can solve for the other diagonal:
348cm² = (24cm × d2) / 2
Since we need to find d2, let's rearrange the equation:
d2 = (2 × Area) / d1
d2 = (2 × 348cm²) / 24cm
d2 = 696cm² / 24cm
d2 = 29cm
So, the measure of the other diagonal is 29cm.