Question

Quadrilateral PQRS is a rhombus. Diagonals PR and QS intersect at point M. If l(QM) = 8 cm and l(MR) = 6 cm, find the side of the rhombus.​

Answer 1

Answer:

We know that, sides of rhombus are equal.

So, PQ=QR=RS=PS=6cm

⇒  Draw a line segment PQ=6cm

⇒  Take P as center with radius 8cm and draw an arc.

⇒  Take Q as center with radius 6cm and draw an arc, which meets previous arc at point R.

⇒  Take P as center with radius 6cm and draw an arc.

⇒  Take R as center with radius 6cm and draw an arc, which meets previous arc at point S.

⇒  Join QR,RS,SP,PR and QS

∴  PQRS is a required rhombus.

⇒  Measure the length of QS.

We get QS=8.9cm