# Construct a parallelogram when one of its side is 4cm and its two diagonals are 5.6 cm and 7cm. Measure the other side.

**Solution:**

Given, one side of a __parallelogram__ is 4 cm.

Two diagonals are 5.6 cm and 7 cm.

We have to construct a parallelogram and find the measure of the other side.

To construct a parallelogram ABCD,

1. Draw a __line segment__ AB = 4 cm

2. With A as center and radius 2.8cm, draw an arc.

3. With B as center and radius 3.5cm , draw another arc cutting the previous arc at O.

4. Join OA and OB.

5. Extend AO to C such that OC = AO and produce BO to D such that OD = BD.

6. Join AD,BC and CD.

The measure of the other side is 5 cm.

Thus, ABCD is the required parallelogram.

**✦ Try This: **Construct a parallelogram when one of its side is 5 cm and its two diagonals are 8 cm and 9 cm. Measure the other side.

**☛ Also Check: **NCERT Solutions for Class 8 Maths

**NCERT Exemplar Class 8 Maths Chapter 5 Problem 200**

## Construct a parallelogram when one of its side is 4cm and its two diagonals are 5.6 cm and 7cm. Measure the other side.

**Summary:**

A parallelogram when one of its side is 4cm and its two diagonals are 5.6 cm and 7cm is constructed. The other side is 5 cm.

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