Given that the side length of a rhombus is the geometric
mean of the lengths of its diagonals. The degree measure
of the acute angle of the rhombus is
(1) 15
(2) 30°
(3)45
(4)60
Answers
Answered by
5
Answer:
option (2) is the right answer
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Step-by-step explanation:
Answered by
1
Answer:
The degree measure of the acute angle of the rhombus is 30 degree
Step-by-step explanation:
Geometric mean
x = √ab
(1)
Area of rhombus = θ
= θ (2)
Area of rhombus = (3)
Equate the equation 2 and 3
θ =
θ = ab (4)
Equate equation 1 and 4
θ =
(2sinθ - 1) = 0
2sinθ - 1 = 0
2sinθ = 1
sinθ = 1/2
sinθ=
Final answer:
The degree measure of the acute angle of the rhombus is 30 degree
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