Practice Set 1.4 On The number 2 is shown on a number line. Steps are given to show 3 the number line using 2. Fill in the boxes properly and complete the activity,
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Answer:
The number √2 is shown on a number line. Steps are given to show √3 on the number line using √2. Fill in the boxes properly and complete the activity. The point Q on the number line shows the number … A line perpendicular to the number line is drawn through the point Q. Point R is at unit distance from Q on the line. Right angled ∆OQR is obtained by drawing seg OR. l(OQ) = √2, l(QR) = 1 ∴ By Pythagoras theorem, [l(OR)]2 = [l(OQ)]2 + [l(QR)]2 = (...)2 + (...)2 = ... + ... = ... So, l(OR) = ... Draw an arc with centre O and radius OR. Mark the point of intersection of the line and the arc as C. The point C shows the number √3Read more on Sarthaks.com - https://www.sarthaks.com/853345/the-number-2-is-shown-on-a-number-line-steps-are-given-to-show-3-on-the-number-line-using-2
Step-by-step explanation:
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Answer:
At O draw a unit square OABC on number line with each side 1 unit in length.
By Pythagoras theorem OB=12+12=2
We have seen that OB=2. Using a compass with centre O and radius OB, draw an arc on the right side to O intersecting the
number line at the point K. Now K corresponds to 2 on the number line.