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Given that the side length of a rhombus is the geometric mean of the length of its diagonals. The degree measure of the acute angle of the rhombus is `15^0` (b) `30^0` (c) `45^0` (d) `60^0`

A

`15^@`

B

`30^@`

C

`45^@`

D

`60^@`

Text Solution

Verified by Experts

The correct Answer is:
B
Area of rhomubs is given by
`2xx1/2x^2sintheta=(ab)/2` (Equating area of a rhombus)
Given `x^2=ab` (given)
`rArrsinteta=1/2`
`or theta=30^@`
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