Question

draw the square LAMP whose diagonal is 6.4

Answer 1

Hi friend!

$<marquee direction="right" behavior="alternate"><big><big><b>Answer:</b></big></big></marquee>$

At first, it seems that only one measurement has been given. But actually, we have far more measurements known.
Since it is a special case (square), we can make use of its special properties.

$The diagonals are perpendicular bisectors of each other. So we have a 90° at the point of intersection, and that too they are bisecting each other. LM<u> | </u>AP We know how to make a perpendicular bisector of a line. So let's move on to the construction.$
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$<b><u>Construction of the square LAMP:</u></b> <ol><li>Draw the diagonal LM of the measure 6.4cm and label it. <small><small>(To label is to write the point names and measure of the line segment)</small></small> <li>Set a compass and take on it the measure of more than 3.2cm (the half of the length of the line segment). <li>Keep the needle on one point and draw arcs above and below the line segment. Similarly, without changing the measurement, keep the needle on the other point and repeat the above once again. <li>Join the points at the intersection using dotted lines. This is the perpendicular bisector. <li>Now take a measure of exactly 3.2cm on the compass and place the needle at the center of the diagonal LM (the point of intersection of both the lines). <li>Draw an arc on the dotted line both above and below. Join these points using solid line (normal line) and label it. <li>Now, join the points L with A and P; and M with A and P. There's your square!</ol>$

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