EFGH is a rhombus,Given EG = 16 and FH = 12, what is the length of one side ofthe rhombus?6 units8 units10 units14 units
Accepted Solution
A:
Answer:C. 10 unitsStep-by-step explanation:The half diagonals of a rhombus are the legs of a right triangle with the hypotenuse being the side of the rhombus.EG and FH are the diagonals of the rhombus. The half-diagonals measure 8 and 6.We can use the Pythagorean theorem to find the hypotenuse length with is the length of the side of the rhombus.a^2 + b^2 = c^28^2 + 6^2 = c^264 + 36 = c^2100 = c^2c^2 = 100c = 10Answer: 10 units