Vikram constructs √2 on a number line by drawing a right triangle with both legs 1 unit, then swinging the hypotenuse onto the line with a compass. How long is the hypotenuse he marks?

Question

Accepted Answer

√2 units. With legs 1 and 1, the hypotenuse = √1^2 + 1^2 = √2 units, which is then marked on the number line.

Vikram constructs $2$ on a number line by drawing a right triangle with both legs 1 unit, then swinging the hypotenuse onto the line with a compass.
How long is the hypotenuse he marks?

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More Class 10 Irrational Numbers practice

Vikram constructs 2​ on a number line by drawing a right triangle with both legs 1 unit, then swinging the hypotenuse onto the line with a compass.How long is the hypotenuse he marks?

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 10 Irrational Numbers practice

Vikram constructs $2$ on a number line by drawing a right triangle with both legs 1 unit, then swinging the hypotenuse onto the line with a compass.
How long is the hypotenuse he marks?