Question

square PQRS is a rhombus. if is measure angle pqrs is 60 and QS is 15 find the perimeter of the Rhombus

Answer 1

QS = 15

PERIMETER OF RHOMBUS =4 * side

= 4 * 15

60

Answer 2

hiiii friend
here is your answer
as the diagonals of a rhombus bisect each other at 90° (say the point of their intersection be "o") and also bisect the vertex angle.
so, angle pqo=60°/2=30°.
and in triangle "pqo"
$\cos(30) = \frac{b}{h} \\ \frac{ \sqrt{3} }{2} = \frac{7.5}{h} \\ \frac{15}{ \sqrt{3} } = h \\ h = 8.66$
so, the side of the rhombus =8.66cm
now perimeter =4×8.66=34.64cm


glad to help you
hope it helps
thank you.