The Baudhayana-Pythagoras Theorem

Why is the Baudhayana-Pythagoras Theorem important in mathematics?

1. It explains the relationship between sides of a right-angled triangle and helps solve real-life measurement problems.
2. It is only used for drawing circles.
3. It is useful only for counting numbers.
4. It has no practical applications.

Which of these is NOT a use of the Pythagoras Theorem?

1. Finding unknown distances
2. Checking right angles
3. Calculating simple addition only
4. Measuring heights

If the sides of a right triangle are 8 cm and 15 cm, find the hypotenuse.

1. 16 cm
2. 17 cm
3. 18 cm
4. 19 cm

What is the longest side of a right-angled triangle called?

1. Base
2. Perpendicular
3. Hypotenuse
4. Radius

Which ancient Indian text contains Baudhayana's geometric ideas?

1. Aryabhatiya
2. Sulba Sutra
3. Panchatantra
4. Ramayana

If a triangle has sides 6 cm, 8 cm, and 10 cm, is it a right-angled triangle?

1. Yes
2. No
3. Cannot be determined
4. Only an equilateral triangle

A ladder leaning against a wall forms a right-angled triangle. Which theorem can help find the height reached by the ladder?

1. Area Theorem
2. Baudhayana-Pythagoras Theorem
3. Angle Sum Theorem
4. Midpoint Theorem

What does the square of the hypotenuse equal according to the theorem?

1. Difference of squares of other sides
2. Sum of squares of other two sides
3. Product of other sides
4. Half of other sides

If the hypotenuse of a right triangle is 13 cm and one side is 5 cm, find the other side.

1. 8 cm
2. 10 cm
3. 12 cm
4. 14 cm

Which of the following is a Pythagorean triple?

1. 2, 3, 4
2. 3, 4, 5
3. 4, 5, 6
4. 5, 6, 7

If the two shorter sides of a right triangle are 3 cm and 4 cm, what is the length of the hypotenuse?

1. 5 cm
2. 6 cm
3. 7 cm
4. 8 cm

In a right-angled triangle, which side is called the hypotenuse?

1. The shortest side
2. The side opposite the right angle
3. Any side of the triangle
4. The side forming the smallest angle

What is the formula of the Baudhayana-Pythagoras Theorem?

1. a² + b² = c²
2. a + b = c
3. a² - b² = c²
4. a × b = c

In which type of triangle is the Baudhayana-Pythagoras Theorem applicable?

1. Equilateral triangle
2. Isosceles triangle
3. Right-angled triangle
4. Scalene triangle

Who is associated with the discovery of the theorem known today as the Pythagoras Theorem in ancient India?

1. Aryabhata
2. Baudhayana
3. Bhaskara
4. Ramanujan