We have seen how to obtain a line whose length is a rational number. How do we obtain lines Class 9

We have seen how to obtain a line whose length is a rational number. How do we obtain lines Class 9

Question 1.

We have seen how to obtain a line whose length is a rational number. How do we obtain lines whose lengths are irrational? Class 9

Solution:

We can obtain lines whose lengths are irrational using a right-angled triangle and a compass.

When a right-angled triangle is constructed with rational lengths as its sides, the length of the hypotenuse is irrational according to the Baudhayana- Pythagoras Theorem.

[Note: In some cases, the hypotenuse may also be rational]