Question

construct a parallelogram with one side 6 cm and length of diagnols 5 cm and 7 cm​

Answer 1

Answer:

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Construct Different Types of Quadrilaterals

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How to construct different types of quadrilaterals?

The different types of quadrilaterals are constructed and classified by relationships of their sides, angles and diagonals.

Some of the constructions of different types of quadrilaterals are given below along with the steps-by-step explanation.

1. Construct a parallelogram ABCD in which AB = 6 cm, BC = 4.5 cm and diagonal AC = 6.8 cm.

Construction of a Parallelogram

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Solution:

Draw a rough sketch of the required parallelogram and write down the given dimensions. (Rough Sketch) →

Steps of Construction:

Steps of Construction of a Parallelogram

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(i) Draw AB = 6 cm.

(ii) With A as center and radius 6.8 cm, draw an arc.

(iii) With B as center and radius 4.5 cm draw another arc, cutting the previous arc at C.

(iv) Join BC and AC.

(v) With A as center and radius 4.5 cm, draw an arc.

(vi) With C as center and radius 6 cm draw another arc, cutting the previously drawn arc at D.

(vii) Join DA and DC.

Then, ABCD is the required parallelogram.

2. Construct a parallelogram, one of whose sides is 5.2 cm and whose diagonals are 6 cm and 6.4 cm.

Construct a Parallelogram

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Solution:

We know that the diagonals of a parallelogram bisect each other.

Make a rough sketch of the required parallelogram, as shown. (Rough Sketch) →

Steps of Construction:

Steps of Construction of a Parallelogram

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(i) Draw AB = 5.2 cm.

(ii) With A as center and radius 3.2 cm, draw an arc.

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

(iv) Join OA and OB.

(v) Produce AO to C such that OC = AO and produce BO to D such that OD = OB.

(vi) Join AD, BC and CD.

Then, ABCD is the required parallelogram

Answer 2

make a line segment AB from point A make an arc 7 cm from point B make an arc 6 cm and cut previous arc from point B make an arc 5 cm from point A cut previous arc join all point parallelogram formed