CH - 2 THE BAUDHĀYANA- PYTHAGORAS THEOREM
GANITA PRAKASH PART 2
FIGURE IT OUT QUESTIONS & ANSWERS
2.1 Doubling a Square
Doubling a Square Using Paper
2.2 Halving a Square
Halving a Square Using Paper
2.3 Hypotenuse of an Isosceles Right Triangle
Decimal Representation of √ 2
How can one construct a square having double the area of a given square?
The diagonal of a square produces a square of double the area of the original square.
As Baudhāyana says, the key is to construct a square on the diagonal of the original square:
Figure it Out PAGE NUMBER 39
1. Earlier, we saw a method to create a square with double the area of a given square paper. There is another method to do this in which two identical square papers are cut in the following way. Math Talk 2 1 4 3 Can you arrange these pieces to create a square with double the area of either square?
2. The length of the two equal sides of an isosceles right triangle is given. Find the length of the hypotenuse. Find bounds on the length of the hypotenuse such that they have at least one digit after the decimal point. (i) 3 (ii) 4 (iii) 6 (iv) 8 (v) 9
3. The hypotenuse of an isosceles right triangle is 10. What are its other two sidelengths? [Hint: Find the area of the square composed of two such right triangles.]
