Math, asked by dolly103, 1 year ago

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

Answers

Answered by ashmitkumar2
0
QS = 15

PERIMETER OF RHOMBUS =4 * side

= 4 * 15

60

dolly103: 15 is a measure of diagonal not of side
Answered by adarshhoax
0
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.
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