Question

*Quadrilateral PQRS is a rhombus .If diagonal PR = 6 cm & diagonal QS = 8 cm in length then find the lenght of its side.*

1️⃣ 4 cm
2️⃣ 5 cm
3️⃣ 3 cm
4️⃣ 10 cm​

Answer 1

Step-by-step explanation:

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