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Artyom0805 [142]
3 years ago
13

Timothy has a fenced-in garden in the shape of a rhombus. The length of the longer diagonal is 24 feet, and the length of the sh

orter diagonal is 18 feet.
What is the length of one side of the fenced-in garden?

12 ft
15 ft
21 ft
108 ft

Mathematics
2 answers:
hichkok12 [17]3 years ago
8 0

Answer:

15 feet is the length of one side of the fenced-in garden.

Step-by-step explanation:

Diagonals of rhombus bisect each at 90 degree angle.

In rhombus ABCD

OA = OC =\frac{24 feet}{2}= 12 feet

OB = OD = \frac{18 feet}{2}= 9 feet

Since, the diagonal intersect at 90 degree angle.

Applying Pythagoras theorem in  ΔAOB

OA^2+OB^2=AB^2

(12 feet)^2+(8 feet)^2=AB^2

AB = 15 feet = Length of side of the rhombus fenced garden

15 feet is the length of one side of the fenced-in garden.

Drupady [299]3 years ago
7 0
One side of the fenced-in garden is 15 ft
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