Pythagoras

Question 1

What is the Pythagorean theorem formula?

Answer 1

a² + b² = c²

Question 2

In the Pythagorean theorem, what does ‘c’ represent?

Answer 2

‘c’ represents the length of the hypotenuse.

Question 3

If a = 3 and b = 4, what is the value of c?

Answer 3

c = 5

Question 4

True or False: The Pythagorean theorem applies to all triangles.

Answer 4

False

Question 5

What type of triangle does the Pythagorean theorem apply to?

Answer 5

Right triangle

Question 6

If c = 10 and a = 6, what is the value of b?

Answer 6

b = 8

Question 7

Which of the following is a correct application of the Pythagorean theorem? a = 5, b = 12, c = ?

Answer 7

c = 13

Question 8

True or False: The Pythagorean theorem can be used in non-right triangles.

Answer 8

False

Question 9

If a = 8 and c = 10, what is b?

Answer 9

b = 6

Question 10

What is the relationship between the sides of a 30-60-90 triangle according to the Pythagorean theorem?

Answer 10

1 : √3 : 2

Question 11

If a = 7 and b = 24, what is c?

Answer 11

c = 25

Question 12

True or False: The Pythagorean theorem is only applicable in Euclidean geometry.

Answer 12

True

Question 13

What do you call a triangle that has one angle greater than 90 degrees?

Answer 13

Obtuse triangle

Question 14

If the lengths of the legs are equal, what type of right triangle is it?

Answer 14

Isosceles right triangle

Question 15

If a = 5 and b = 12, what is c?

Answer 15

c = 13

Question 16

In a right triangle, if one leg is 9 and the hypotenuse is 15, what is the length of the other leg?

Answer 16

12

Question 17

What is the square of the hypotenuse if the legs of the triangle are 1 and √3?

Answer 17

4

Question 18

If c = 13 and b = 12, what is a?

Answer 18

5