Question

In a rombus Angle Q=120 degree and angleQS =6 cm .Find the measure of diagonal (QR).​

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

Step-by-step explanation:

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Answer 2

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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