Question

In the following figure. ABCD is a rhombus. Find the values of x and y.
D
С
5x - 3
х
2y-1
60°
A
4x + 3
B​

Answer 1

Step-by-step explanation:

since it is a rhombus

sides will be equal

so

5x-3=4x+3

x= 6

now by cosine law

BD²=AD²+AB²-2AD.AB cosø

(2y-1)²=(5x-3)²+(4x+3)²-2(5x-3)(4x+3)cos60

(2y-1)²=27²+27²-(2×27²×1/2)

(2y-1)²=2×27²-27²

(2y-1)²=27²

2y-1=27

2y=28==> y=14