The area of a rhombus is 84 cm2 and one diagonal is 12 cm. Find the other diagonal of the rhombus.
area = (1/2) d1 d2
84 = (1/2)(12) d2
d2 = 84/6 = 14
Area of rhombus =1\2d1 d2
84 =1\2 12 d2
168 = 12 d2
168 \12 = d2
14 = d2
d2 =14
To find the other diagonal of the rhombus, we can use the formula for the area of a rhombus:
Area = (diagonal1 * diagonal2) / 2
Given that the area is 84 cm^2 and one diagonal is 12 cm, we can substitute these values into the formula to solve for the other diagonal.
84 = (12 * diagonal2) / 2
To isolate diagonal2, we can multiply both sides of the equation by 2 and divide by 12:
(84 * 2) / 12 = diagonal2
Simplifying the equation:
168 / 12 = diagonal2
diagonal2 = 14 cm
Therefore, the other diagonal of the rhombus is 14 cm.
To find the other diagonal of the rhombus, we can use the formula:
Area = (d1 * d2) / 2
Where:
- "Area" is the given area of the rhombus,
- "d1" is the length of one diagonal (given as 12 cm),
- "d2" is the length of the other diagonal (what we need to find).
Rearranging the formula, we have:
d2 = (2 * Area) / d1
Substituting the given values, we get:
d2 = (2 * 84 cm^2) / 12 cm
Calculating this, we find:
d2 = 168 cm^2 / 12 cm
d2 = 14 cm
Therefore, the length of the other diagonal of the rhombus is 14 cm.