Question

construct a rhombus the length of whose diagonals are 6 cm and 8 cm

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Concept:

The sides of a rhombus, which is special type of prallelogram, are equal. The angles of a rhombus need not to be a right angle.

Given:

The length of diagonals a rhombus $6cm,8cm$

Find:

Construct a rhombus the length of whose diagonals are given.

Solution:

According to the problem,

First draw a line segment. Let $AC=6cm$.

Then with point $A$ as a center drawing an arc of length equal to half of $8cm$, that is $4cm$ below $AC$.

Now, with point $C$ as a center drawing another arc with same radius such that it intersects the previous arc. Marking the intersection point as $B$.

Joining the points $A,B$ with $B,C$.

Now, repeating the same procedure on the other side of $AC$, rhombus $ABCD$ is obtained.

This looks like below,

Hence, the construction of a rhombus looks like below.