Find the smaller diagonal of a rhombus if its area is 60 m and the ratio of the diagonals is 6/5.
| May 7, 2021 | education
Let the length of the smaller diagonal be 5 * X cm, then the large diagonal will be equal to 6 * X cm.
The area of a rhombus is equal to half the products of its diagonals.
Savsd = АС * ВD / 2.
60 = 5 * X * 6 * X / 2.
120 = 30 * X ^ 2.
X ^ 2 = 120/30 = 4.
X = 2 cm.
Then BD = 5 * 2 = 10 cm.
Answer: The length of the smaller diagonal is 10 cm.
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