What are the sides of a rhombus if its diagonals are 10 cm and 14 cm?
| April 10, 2021 | education
The diagonals of the rhombus divide the figure into 4 right-angled triangles, the lengths of which are 1/2 of the diagonals.
In this case, the length of the first leg will be:
1/2 * 10 = 10/2 = 5 cm.
The length of the second leg will be:
1/2 * 14 = 14/2 = 7 cm.
In order to find the lengths of the sides of a rhombus, you need to use the Pythagorean theorem, which says that the square of the hypotenuse is equal to the sum of the squares of the legs.
We get:
52 + 72 = 25 + 49 = 64.
√64 = 8 cm.
Answer: The length of the sides of the rhombus is 8 cm.
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